Información del autor
Autor Themistocles M. Rassias |
Documentos disponibles escritos por este autor (5)



Approximation and Computation / SpringerLink (Online service) ; Walter Gautschi ; Giuseppe Mastroianni ; Themistocles M. Rassias (2011)
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Título : Approximation and Computation : In Honor of Gradimir V. Milovanovic Tipo de documento: documento electrónico Autores: SpringerLink (Online service) ; Walter Gautschi ; Giuseppe Mastroianni ; Themistocles M. Rassias Editorial: New York, NY : Springer New York Fecha de publicación: 2011 Colección: Springer Optimization and Its Applications, ISSN 1931-6828 num. 42 Número de páginas: XVIII, 482 p Il.: online resource ISBN/ISSN/DL: 978-1-4419-6594-3 Idioma : Inglés (eng) Palabras clave: Mathematics Computer science Approximation theory mathematics Mathematical optimization Optimization Computational and Numerical Analysis Approximations Expansions of Computing Clasificación: 51 Matemáticas Resumen: Approximation theory and numerical analysis are central to the creation of accurate computer simulations and mathematical models. Research in these areas can influence the computational techniques used in a variety of mathematical and computational sciences. This collection of contributed chapters, dedicated to the renowned mathematician Gradimir V. Milovanovic, represent the recent work of experts in the fields of approximation theory and numerical analysis. These invited contributions describe new trends in these important areas of research including theoretic developments, new computational algorithms, and multidisciplinary applications. Special features of this volume: - Presents results and approximation methods in various computational settings including polynomial and orthogonal systems, analytic functions, and differential equations. - Provides a historical overview of approximation theory and many of its subdisciplines. - Contains new results from diverse areas of research spanning mathematics, engineering, and the computational sciences. "Approximation and Computation" is intended for mathematicians and researchers focusing on approximation theory and numerical analysis, but can also be a valuable resource to students and researchers in engineering and other computational and applied sciences Nota de contenido: Part I Introduction. -- The Scientific Work of Gradimir V. Milovanovic (Aleksandar Ivic) -- My Collaboration with Gradimir V. Milovanovic (Walter Gautschi) -- On Some Major Trends in Mathematics (Themistocles M. Rassias) -- Part II Polynomials and Orthogonal Systems -- An Application of Sobolev Orthogonal Polynomials to the Computation of a Special Hankel Determinant (Paul Barry, Predrag M. Rajkovic and Marko D. Petkovic) -- Extremal Problems for Polynomials in the Complex Plane (Borislav Bojanov) -- Energy of Graphs and OrthogonalMatrices (V. Božin and M. Mateljevic) -- Interlacing Property of Zeros of Shifted Jacobi Polynomials (Aleksandar S. Cvetkovic) -- Trigonometric Orthogonal Systems (Aleksandar S. Cvetkovic and Marija P. Stanic) -- Experimental Mathematics Involving Orthogonal Polynomials (Walter Gautschi) -- Compatibility of Continued Fraction Convergents with Padé Approximants (Jacek Gilewicz and Radoslaw Jedynak) -- Orthogonal Decomposition of Fractal Sets (Ljubiša M. Kocic, Sonja Gegovska Zajkova, Elena Babace) -- Positive Trigonometric Sums and Starlike Functions (Stamatis Koumandos) -- Part III Quadrature Formulae. -- Quadrature Rules for Unbounded Intervals and Their Application to Integral Equations (G. Monegato, L. Scuderi) -- GaussType Quadrature Formulae for Parabolic Splines with Equidistant Knots (Geno Nikolov and Corina Simian) -- Approximation of the Hilbert Transform on the Real Line Using Freud Weights (Incoronata Notarangelo) -- The Remainder Term of GaussTur´an Quadratures for Analytic Functions (Miodrag M. Spalevic and Miroslav S. Pranic) -- Towards a General Error Theory of the Trapezoidal Rule (Jörg Waldvogel) -- Part IV Differential Equations -- Finite Difference Method for a Parabolic Problem with Concentrated Capacity and TimeDependent Operator (Dejan R. Bojovic and Boško S. Jovanovic) -- Adaptive Finite Element Approximation of the FrancfortMarigo Model of Brittle Fracture (Siobhan Burke, Christoph Ortner and Endre Süli) -- A NyströmMethod for Solving a Boundary Value Problems on [0, 8) (Carmelina Frammartino) -- Finite Difference Approximation of a Hyperbolic Transmission Problem (Boško S. Jovanovic) -- Homeomorphisms and Fredholm Theory for Perturbations of Nonlinear Fredholm Maps of Index Zero and of AProper Maps with Applications (P. S. Milojevic) -- Singular Support and FLq Continuity of Pseudodifferential Operators (Stevan Pilipovic, Nenad Teofanov and Joachim Toft) -- On a Class of Matrix Differential Equations with Polynomial Coefficients (Boro M. Piperevski) -- Part V Applications -- Optimized Algorithm for Petviashvili’s Method for Finding Solitons in Photonic Lattices (Raka Jovanovic and Milan Tuba) -- Explicit Method for the Numerical Solution of the FokkerPlanck Equation of Filtered Phase Noise (Dejan Milic) -- Numerical Method for Computer Study of Liquid Phase Sintering: Densification Due to GravityInduced Skeletal Settling (Zoran S. Nikolic) -- Computer Algebra and Line Search (Predrag Stanimirovic, Marko Miladinovic and Ivan M. Jovanovic) -- Roots of AGbands (Nebojša Stevanovic and Petar V. Protic) -- Context Hidden MarkovModel for Named Entity Recognition (Branimir T. Todorovic, Svetozar R. Rancic, Edin H. Mulalic) -- On the Interpolating Quadratic Spline (Zlatko Udovicic) -- Visualization of Infinitesimal Bending of Curves (Ljubica S. Velimirovic, Svetozar R. Rancic, Milan Lj. Zlatanovic) En línea: http://dx.doi.org/10.1007/978-1-4419-6594-3 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=33147 Approximation and Computation : In Honor of Gradimir V. Milovanovic [documento electrónico] / SpringerLink (Online service) ; Walter Gautschi ; Giuseppe Mastroianni ; Themistocles M. Rassias . - New York, NY : Springer New York, 2011 . - XVIII, 482 p : online resource. - (Springer Optimization and Its Applications, ISSN 1931-6828; 42) .
ISBN : 978-1-4419-6594-3
Idioma : Inglés (eng)
Palabras clave: Mathematics Computer science Approximation theory mathematics Mathematical optimization Optimization Computational and Numerical Analysis Approximations Expansions of Computing Clasificación: 51 Matemáticas Resumen: Approximation theory and numerical analysis are central to the creation of accurate computer simulations and mathematical models. Research in these areas can influence the computational techniques used in a variety of mathematical and computational sciences. This collection of contributed chapters, dedicated to the renowned mathematician Gradimir V. Milovanovic, represent the recent work of experts in the fields of approximation theory and numerical analysis. These invited contributions describe new trends in these important areas of research including theoretic developments, new computational algorithms, and multidisciplinary applications. Special features of this volume: - Presents results and approximation methods in various computational settings including polynomial and orthogonal systems, analytic functions, and differential equations. - Provides a historical overview of approximation theory and many of its subdisciplines. - Contains new results from diverse areas of research spanning mathematics, engineering, and the computational sciences. "Approximation and Computation" is intended for mathematicians and researchers focusing on approximation theory and numerical analysis, but can also be a valuable resource to students and researchers in engineering and other computational and applied sciences Nota de contenido: Part I Introduction. -- The Scientific Work of Gradimir V. Milovanovic (Aleksandar Ivic) -- My Collaboration with Gradimir V. Milovanovic (Walter Gautschi) -- On Some Major Trends in Mathematics (Themistocles M. Rassias) -- Part II Polynomials and Orthogonal Systems -- An Application of Sobolev Orthogonal Polynomials to the Computation of a Special Hankel Determinant (Paul Barry, Predrag M. Rajkovic and Marko D. Petkovic) -- Extremal Problems for Polynomials in the Complex Plane (Borislav Bojanov) -- Energy of Graphs and OrthogonalMatrices (V. Božin and M. Mateljevic) -- Interlacing Property of Zeros of Shifted Jacobi Polynomials (Aleksandar S. Cvetkovic) -- Trigonometric Orthogonal Systems (Aleksandar S. Cvetkovic and Marija P. Stanic) -- Experimental Mathematics Involving Orthogonal Polynomials (Walter Gautschi) -- Compatibility of Continued Fraction Convergents with Padé Approximants (Jacek Gilewicz and Radoslaw Jedynak) -- Orthogonal Decomposition of Fractal Sets (Ljubiša M. Kocic, Sonja Gegovska Zajkova, Elena Babace) -- Positive Trigonometric Sums and Starlike Functions (Stamatis Koumandos) -- Part III Quadrature Formulae. -- Quadrature Rules for Unbounded Intervals and Their Application to Integral Equations (G. Monegato, L. Scuderi) -- GaussType Quadrature Formulae for Parabolic Splines with Equidistant Knots (Geno Nikolov and Corina Simian) -- Approximation of the Hilbert Transform on the Real Line Using Freud Weights (Incoronata Notarangelo) -- The Remainder Term of GaussTur´an Quadratures for Analytic Functions (Miodrag M. Spalevic and Miroslav S. Pranic) -- Towards a General Error Theory of the Trapezoidal Rule (Jörg Waldvogel) -- Part IV Differential Equations -- Finite Difference Method for a Parabolic Problem with Concentrated Capacity and TimeDependent Operator (Dejan R. Bojovic and Boško S. Jovanovic) -- Adaptive Finite Element Approximation of the FrancfortMarigo Model of Brittle Fracture (Siobhan Burke, Christoph Ortner and Endre Süli) -- A NyströmMethod for Solving a Boundary Value Problems on [0, 8) (Carmelina Frammartino) -- Finite Difference Approximation of a Hyperbolic Transmission Problem (Boško S. Jovanovic) -- Homeomorphisms and Fredholm Theory for Perturbations of Nonlinear Fredholm Maps of Index Zero and of AProper Maps with Applications (P. S. Milojevic) -- Singular Support and FLq Continuity of Pseudodifferential Operators (Stevan Pilipovic, Nenad Teofanov and Joachim Toft) -- On a Class of Matrix Differential Equations with Polynomial Coefficients (Boro M. Piperevski) -- Part V Applications -- Optimized Algorithm for Petviashvili’s Method for Finding Solitons in Photonic Lattices (Raka Jovanovic and Milan Tuba) -- Explicit Method for the Numerical Solution of the FokkerPlanck Equation of Filtered Phase Noise (Dejan Milic) -- Numerical Method for Computer Study of Liquid Phase Sintering: Densification Due to GravityInduced Skeletal Settling (Zoran S. Nikolic) -- Computer Algebra and Line Search (Predrag Stanimirovic, Marko Miladinovic and Ivan M. Jovanovic) -- Roots of AGbands (Nebojša Stevanovic and Petar V. Protic) -- Context Hidden MarkovModel for Named Entity Recognition (Branimir T. Todorovic, Svetozar R. Rancic, Edin H. Mulalic) -- On the Interpolating Quadratic Spline (Zlatko Udovicic) -- Visualization of Infinitesimal Bending of Curves (Ljubica S. Velimirovic, Svetozar R. Rancic, Milan Lj. Zlatanovic) En línea: http://dx.doi.org/10.1007/978-1-4419-6594-3 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=33147 Ejemplares
Signatura Medio Ubicación Sub-localización Sección Estado ningún ejemplar Essays in Mathematics and its Applications / SpringerLink (Online service) ; Panos M. Pardalos ; Themistocles M. Rassias (2012)
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Título : Essays in Mathematics and its Applications : In Honor of Stephen Smale´s 80th Birthday Tipo de documento: documento electrónico Autores: SpringerLink (Online service) ; Panos M. Pardalos ; Themistocles M. Rassias Editorial: Berlin, Heidelberg : Springer Berlin Heidelberg Fecha de publicación: 2012 Otro editor: Imprint: Springer Número de páginas: VIII, 504 p Il.: online resource ISBN/ISSN/DL: 978-3-642-28821-0 Idioma : Inglés (eng) Palabras clave: Mathematics Operations research Decision making Applied mathematics Engineering Mathematical optimization Applications of Operation Research/Decision Theory Optimization Clasificación: 51 Matemáticas Resumen: The volume is dedicated to Stephen Smale on the occasion of his 80th birthday. Besides his startling 1960 result of the proof of the Poincaré conjecture for all dimensions greater than or equal to five, Smale’s ground breaking contributions invarious fields in Mathematics have marked the second part of the 20th century and beyond. Stephen Smale has done pioneering work in differential topology, global analysis, dynamical systems, nonlinear functional analysis, numerical analysis, theory of computation and machine learning as well as applications in the physical and biological sciences and economics. In sum, Stephen Smale has manifestly broken the barriers among the different fields of mathematics and dispelled some remaining prejudices. He is indeed a universal mathematician. Smale has been honored with several prizes and honorary degrees including, among others, the Fields Medal(1966), The Veblen Prize (1966), the National Medal of Science (1996) and theWolf Prize (2006/2007) Nota de contenido: Preface -- Transitivity and Topological Mixing for C1 Diffeomorphisms -- Recent Results on the Size of Critical Sets -- The FoxLi operator as a Test and a Spur for WienerHopf Theory -- Kahler Metrics with Cone Singularities along a Divisor -- The Space of Framed functions is Contractible -- Quantum Gravity via Manifold Positivity -- Parabolic Explosions in Families of Complex Polynomials -- Super Stable Kahlerian Horseshoe? -- A Smooth Multivariate Interpolation Algorithm -- Bifurcations of Solutions of the 2-Dimensional Navier-Stokes System -- Arnold Diffusion by Variational Methods -- Turning Washington's Heuristics in Favor of Vandiver's Conjecture -- Schwartzman Cycles and Ergodic Solenoids -- An Additive Functional equation in Orthogonality Spaces -- Exotic Heat PDEs.II -- Topology at a Scale in Metric Spaces -- Functions and Associated Series and Integrals -- Gyrations: The Missing Link Between Classical Mechanics with its Underlying Euclidean Geometry and Relativistic Mechanics with its Underlying Hyperbolic Geometry En línea: http://dx.doi.org/10.1007/978-3-642-28821-0 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=32975 Essays in Mathematics and its Applications : In Honor of Stephen Smale´s 80th Birthday [documento electrónico] / SpringerLink (Online service) ; Panos M. Pardalos ; Themistocles M. Rassias . - Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 2012 . - VIII, 504 p : online resource.
ISBN : 978-3-642-28821-0
Idioma : Inglés (eng)
Palabras clave: Mathematics Operations research Decision making Applied mathematics Engineering Mathematical optimization Applications of Operation Research/Decision Theory Optimization Clasificación: 51 Matemáticas Resumen: The volume is dedicated to Stephen Smale on the occasion of his 80th birthday. Besides his startling 1960 result of the proof of the Poincaré conjecture for all dimensions greater than or equal to five, Smale’s ground breaking contributions invarious fields in Mathematics have marked the second part of the 20th century and beyond. Stephen Smale has done pioneering work in differential topology, global analysis, dynamical systems, nonlinear functional analysis, numerical analysis, theory of computation and machine learning as well as applications in the physical and biological sciences and economics. In sum, Stephen Smale has manifestly broken the barriers among the different fields of mathematics and dispelled some remaining prejudices. He is indeed a universal mathematician. Smale has been honored with several prizes and honorary degrees including, among others, the Fields Medal(1966), The Veblen Prize (1966), the National Medal of Science (1996) and theWolf Prize (2006/2007) Nota de contenido: Preface -- Transitivity and Topological Mixing for C1 Diffeomorphisms -- Recent Results on the Size of Critical Sets -- The FoxLi operator as a Test and a Spur for WienerHopf Theory -- Kahler Metrics with Cone Singularities along a Divisor -- The Space of Framed functions is Contractible -- Quantum Gravity via Manifold Positivity -- Parabolic Explosions in Families of Complex Polynomials -- Super Stable Kahlerian Horseshoe? -- A Smooth Multivariate Interpolation Algorithm -- Bifurcations of Solutions of the 2-Dimensional Navier-Stokes System -- Arnold Diffusion by Variational Methods -- Turning Washington's Heuristics in Favor of Vandiver's Conjecture -- Schwartzman Cycles and Ergodic Solenoids -- An Additive Functional equation in Orthogonality Spaces -- Exotic Heat PDEs.II -- Topology at a Scale in Metric Spaces -- Functions and Associated Series and Integrals -- Gyrations: The Missing Link Between Classical Mechanics with its Underlying Euclidean Geometry and Relativistic Mechanics with its Underlying Hyperbolic Geometry En línea: http://dx.doi.org/10.1007/978-3-642-28821-0 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=32975 Ejemplares
Signatura Medio Ubicación Sub-localización Sección Estado ningún ejemplar Functional Equations in Mathematical Analysis / SpringerLink (Online service) ; Themistocles M. Rassias ; Janusz Brzdek (2012)
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Título : Functional Equations in Mathematical Analysis Tipo de documento: documento electrónico Autores: SpringerLink (Online service) ; Themistocles M. Rassias ; Janusz Brzdek Editorial: New York, NY : Springer New York Fecha de publicación: 2012 Otro editor: Imprint: Springer Colección: Springer Optimization and Its Applications, ISSN 1931-6828 num. 52 Número de páginas: XVII, 749 p. 6 illus., 1 illus. in color Il.: online resource ISBN/ISSN/DL: 978-1-4614-0055-4 Idioma : Inglés (eng) Palabras clave: Mathematics Difference equations Functional analysis Special functions and Equations Analysis Functions Clasificación: 51 Matemáticas Resumen: Functional Equations in Mathematical Analysis, dedicated to S.M. Ulam in honor of his 100th birthday, focuses on various important areas of research in mathematical analysis and related subjects, providing an insight into the study of numerous nonlinear problems. Among other topics, it supplies the most recent results on the solutions to the Ulam stability problem. The original stability problem was posed by S.M. Ulam in 1940 and concerned approximate homomorphisms. The pursuit of solutions to this problem, but also to its generalizations and/or modifications for various classes of equations and inequalities, is an expanding area of research, and has led to the development of what is now called the Hyers–Ulam stability theory. Comprised of contributions from eminent scientists and experts from the international mathematical community, the volume presents several important types of functional equations and inequalities and their applications in mathematical analysis, geometry, physics, and applied mathematics. It is intended for researchers and students in mathematics, physics, and other computational and applied sciences Nota de contenido: Preface -- 1. Stability properties of some functional equations (R. Badora) -- 2. Note on superstability of Mikusinski’s functional equation (B. Batko) -- 3. A general fixed point method for the stability of Cauchy functional equation (L. Cadariu, V. Radu) -- 4. Orthogonality preserving property and its Ulam stability (J. Chmielinski) -- 5. On the Hyers-Ulam stability of functional equations with respect to bounded distributions (J.-U. Chung) -- 6. Stability of multi-Jensen mappings in non-Archimedean normed spaces (K. Cieplinski) -- 7. On stability of the equation of homogeneous functions on topological spaces (S. Czerwik) -- 8. Hyers-Ulam stability of the quadratic functional equation (E. Elhoucien, M. Youssef, T. M. Rassias) -- 9. Intuitionistic fuzzy approximately additive mappings (M. Eshaghi-Gordji, H. Khodaei, H. Baghani, M. Ramezani) -- 10. Stability of the pexiderized Cauchy functional equation in non-Archimedean spaces (G. Z. Eskandani, P. Gavruta) -- 11. Generalized Hyers-Ulam stability for general quadratic functional equation in quasi-Banach spaces (J. Gao) -- 12. Ulam stability problem for frames (L. Gavruta, P. Gavruta) -- 13. Generalized Hyers-Ulam stability of a quadratic functional equation (K.-W. Jun, H-M. Kim, J. Son) -- 14. On the Hyers-Ulam-Rassias stability of the bi-Pexider functional equation (K.-W. Jun, Y.-H. Lee) -- 15. Approximately midconvex functions (K. Misztal, J. Tabor, J. Tabor) -- 16. The Hyers-Ulam and Ger type stabilities of the first order linear differential equations (T. Miura, G. Hirasawa) -- 17. On the Butler-Rassias functional equation and its generalized Hyers-Ulam stability (T. Miura, G. Hirasawa, T. Hayata) -- 18. A note on the stability of an integral equation (T. Miura, G. Hirasawa, S.-E. Takahasi, T. Hayata) -- 19. On the stability of polynomial equations (A. Najati, T. M. Rassias) -- 20. Isomorphisms and derivations in proper JCQ*-triples (C. Park, M. Eshaghi-Gordji) -- 21. Fuzzy stability of an additive-quartic functional equation: a fixed point approach (C. Park, T.M. Rassias) -- 22. Selections of set-valued maps satisfying functional inclusions on square-symmetric grupoids (D. Popa) -- 23. On stability of isometries in Banach spaces (V.Y. Protasov) -- 24. Ulam stability of the operatorial equations (I.A. Rus) -- 25. Stability of the quadratic-cubic functional equation in quasi-Banach spaces (Z. Wang, W. Zhang) -- 26. u-trigonometric functional equations and Hyers-Ulam stability problem in hypergroups (D. Zeglami, S. Kabbaj, A. Charifi, A. Roukbi) -- 27. On multivariate Ostrowski type inequalities (Z Changjian, W.-S. Cheung) -- 28. Ternary semigroups and ternary algebras (A. Chronowski) -- 29. Popoviciu type functional equations on groups (M. Chudziak) -- 30. Norm and numerical radius inequalities for two linear operators in Hillbert spaces: a survey of recent results (S.S. Dragomir) -- 31. Cauchy’s functional equation and nowhere continuous/everywhere dense Costas bijections in Euclidean spaces (K. Drakakis) -- 32. On solutions of some generalizations of the Golab-Schinzel equation (E. Jablonska) -- 33. One-parameter groups of formal power series of one indeterminate (W. Jablonski) -- 34. On some problems concerning a sum type operator (H.H. Kairies) -- 35. Priors on the space of unimodal probability measures (G. Kouvaras, G. Kokolakis) -- 36. Generalized weighted arithmetic means (J. Matkowski) -- 37. On means which are quasi-arithmetic and of the Beckenbach-Gini type (J. Matkowski) -- 38. Scalar Riemann-Hillbert problem for multiply connected domains (V.V. Mityushev) -- 39. Hodge theory for Riemannian solenoids (V. Muñoz, R.P. Marco) -- 40. On solutions of a generalization of the Golab-Schinzel functional equation (A. Murenko) -- 41. On functional equation containing an indexed family of unknown mappings (P. Nath, D.K. Singh) -- 42. Two-step iterative method for nonconvex bifunction variational inequalities (M.A. Noor, K.I. Noor, E. Al-Said) -- 43. On a Sincov type functional equation (P. K. Sahoo) -- 44. Invariance in some families of means (G. Toader, I. Costin, S. Toader) -- 45. On a Hillbert-type integral inequality (B. Yang) -- 46. An extension of Hardy-Hillbert’s inequality (B. Yang) -- 47. A relation to Hillbert’s integral inequality and a basic Hillbert-type inequality (B. Yang, T.M. Rassias) En línea: http://dx.doi.org/10.1007/978-1-4614-0055-4 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=32732 Functional Equations in Mathematical Analysis [documento electrónico] / SpringerLink (Online service) ; Themistocles M. Rassias ; Janusz Brzdek . - New York, NY : Springer New York : Imprint: Springer, 2012 . - XVII, 749 p. 6 illus., 1 illus. in color : online resource. - (Springer Optimization and Its Applications, ISSN 1931-6828; 52) .
ISBN : 978-1-4614-0055-4
Idioma : Inglés (eng)
Palabras clave: Mathematics Difference equations Functional analysis Special functions and Equations Analysis Functions Clasificación: 51 Matemáticas Resumen: Functional Equations in Mathematical Analysis, dedicated to S.M. Ulam in honor of his 100th birthday, focuses on various important areas of research in mathematical analysis and related subjects, providing an insight into the study of numerous nonlinear problems. Among other topics, it supplies the most recent results on the solutions to the Ulam stability problem. The original stability problem was posed by S.M. Ulam in 1940 and concerned approximate homomorphisms. The pursuit of solutions to this problem, but also to its generalizations and/or modifications for various classes of equations and inequalities, is an expanding area of research, and has led to the development of what is now called the Hyers–Ulam stability theory. Comprised of contributions from eminent scientists and experts from the international mathematical community, the volume presents several important types of functional equations and inequalities and their applications in mathematical analysis, geometry, physics, and applied mathematics. It is intended for researchers and students in mathematics, physics, and other computational and applied sciences Nota de contenido: Preface -- 1. Stability properties of some functional equations (R. Badora) -- 2. Note on superstability of Mikusinski’s functional equation (B. Batko) -- 3. A general fixed point method for the stability of Cauchy functional equation (L. Cadariu, V. Radu) -- 4. Orthogonality preserving property and its Ulam stability (J. Chmielinski) -- 5. On the Hyers-Ulam stability of functional equations with respect to bounded distributions (J.-U. Chung) -- 6. Stability of multi-Jensen mappings in non-Archimedean normed spaces (K. Cieplinski) -- 7. On stability of the equation of homogeneous functions on topological spaces (S. Czerwik) -- 8. Hyers-Ulam stability of the quadratic functional equation (E. Elhoucien, M. Youssef, T. M. Rassias) -- 9. Intuitionistic fuzzy approximately additive mappings (M. Eshaghi-Gordji, H. Khodaei, H. Baghani, M. Ramezani) -- 10. Stability of the pexiderized Cauchy functional equation in non-Archimedean spaces (G. Z. Eskandani, P. Gavruta) -- 11. Generalized Hyers-Ulam stability for general quadratic functional equation in quasi-Banach spaces (J. Gao) -- 12. Ulam stability problem for frames (L. Gavruta, P. Gavruta) -- 13. Generalized Hyers-Ulam stability of a quadratic functional equation (K.-W. Jun, H-M. Kim, J. Son) -- 14. On the Hyers-Ulam-Rassias stability of the bi-Pexider functional equation (K.-W. Jun, Y.-H. Lee) -- 15. Approximately midconvex functions (K. Misztal, J. Tabor, J. Tabor) -- 16. The Hyers-Ulam and Ger type stabilities of the first order linear differential equations (T. Miura, G. Hirasawa) -- 17. On the Butler-Rassias functional equation and its generalized Hyers-Ulam stability (T. Miura, G. Hirasawa, T. Hayata) -- 18. A note on the stability of an integral equation (T. Miura, G. Hirasawa, S.-E. Takahasi, T. Hayata) -- 19. On the stability of polynomial equations (A. Najati, T. M. Rassias) -- 20. Isomorphisms and derivations in proper JCQ*-triples (C. Park, M. Eshaghi-Gordji) -- 21. Fuzzy stability of an additive-quartic functional equation: a fixed point approach (C. Park, T.M. Rassias) -- 22. Selections of set-valued maps satisfying functional inclusions on square-symmetric grupoids (D. Popa) -- 23. On stability of isometries in Banach spaces (V.Y. Protasov) -- 24. Ulam stability of the operatorial equations (I.A. Rus) -- 25. Stability of the quadratic-cubic functional equation in quasi-Banach spaces (Z. Wang, W. Zhang) -- 26. u-trigonometric functional equations and Hyers-Ulam stability problem in hypergroups (D. Zeglami, S. Kabbaj, A. Charifi, A. Roukbi) -- 27. On multivariate Ostrowski type inequalities (Z Changjian, W.-S. Cheung) -- 28. Ternary semigroups and ternary algebras (A. Chronowski) -- 29. Popoviciu type functional equations on groups (M. Chudziak) -- 30. Norm and numerical radius inequalities for two linear operators in Hillbert spaces: a survey of recent results (S.S. Dragomir) -- 31. Cauchy’s functional equation and nowhere continuous/everywhere dense Costas bijections in Euclidean spaces (K. Drakakis) -- 32. On solutions of some generalizations of the Golab-Schinzel equation (E. Jablonska) -- 33. One-parameter groups of formal power series of one indeterminate (W. Jablonski) -- 34. On some problems concerning a sum type operator (H.H. Kairies) -- 35. Priors on the space of unimodal probability measures (G. Kouvaras, G. Kokolakis) -- 36. Generalized weighted arithmetic means (J. Matkowski) -- 37. On means which are quasi-arithmetic and of the Beckenbach-Gini type (J. Matkowski) -- 38. Scalar Riemann-Hillbert problem for multiply connected domains (V.V. Mityushev) -- 39. Hodge theory for Riemannian solenoids (V. Muñoz, R.P. Marco) -- 40. On solutions of a generalization of the Golab-Schinzel functional equation (A. Murenko) -- 41. On functional equation containing an indexed family of unknown mappings (P. Nath, D.K. Singh) -- 42. Two-step iterative method for nonconvex bifunction variational inequalities (M.A. Noor, K.I. Noor, E. Al-Said) -- 43. On a Sincov type functional equation (P. K. Sahoo) -- 44. Invariance in some families of means (G. Toader, I. Costin, S. Toader) -- 45. On a Hillbert-type integral inequality (B. Yang) -- 46. An extension of Hardy-Hillbert’s inequality (B. Yang) -- 47. A relation to Hillbert’s integral inequality and a basic Hillbert-type inequality (B. Yang, T.M. Rassias) En línea: http://dx.doi.org/10.1007/978-1-4614-0055-4 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=32732 Ejemplares
Signatura Medio Ubicación Sub-localización Sección Estado ningún ejemplar Nonlinear Analysis and Variational Problems / SpringerLink (Online service) ; Panos M. Pardalos ; Themistocles M. Rassias ; Akhtar A. Khan (2010)
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Título : Nonlinear Analysis and Variational Problems : In Honor of George Isac Tipo de documento: documento electrónico Autores: SpringerLink (Online service) ; Panos M. Pardalos ; Themistocles M. Rassias ; Akhtar A. Khan Editorial: New York, NY : Springer New York Fecha de publicación: 2010 Colección: Springer Optimization and Its Applications, ISSN 1931-6828 num. 35 Número de páginas: XXVII, 490 p. 13 illus Il.: online resource ISBN/ISSN/DL: 978-1-4419-0158-3 Idioma : Inglés (eng) Palabras clave: Mathematics Mathematical analysis Analysis (Mathematics) Global Manifolds Operator theory Potential Calculus of variations Operations research Management science Research, Science Theory and on Variations Optimal Control; Optimization Clasificación: 51 Matemáticas Resumen: The chapters in this volume, written by international experts from different fields of mathematics, are devoted to honoring George Isac, a renowned mathematician. These contributions focus on recent developments in complementarity theory, variational principles, stability theory of functional equations, nonsmooth optimization, and several other important topics at the forefront of nonlinear analysis and optimization. "Nonlinear Analysis and Variational Problems" is organized into two parts. Part I, Nonlinear Analysis, centers on stability issues for functional equations, fixed point theorems, critical point theorems, W*-algebras, the Brezis–Browder principle, and related topics. Part II, Variational Problems, addresses several important aspects of optimization and variational methods. This includes equilibrium problems, projected dynamical system, set-valued and set-semidefinite optimization, variational inequalities, variational principles, complementarity problems, and problems in optimal control. In the last few decades, the theory of complementarity, functional stability and variational principles have provided a unified framework for dealing with a wide range of problems in diverse branches of pure and applied mathematics, such as finance, operations research, economics, network analysis, control theory, biology, and others. This volume is well-suited to graduate students as well as researchers and practitioners in the fields of pure and applied mathematics, social sciences, economics, operations research, engineering, and related sciences Nota de contenido: I Nonlinear Analysis -- Discrete Approximation Processes of King#x2019;s Type -- Isometrics in Non-Archimedean Strictly Convex and Strictly 2-Convex 2-Normed Spaces -- Fixed Points and Generalized Stability for -Additive Mappings of Isac-Rassias Type -- A Remark on W#x002A;-Tensor Products of W#x002A;-Algebras -- The Perturbed Median Principle for Integral Inequalities with Applications -- Stability of a Mixed Type Additive, Quadratic, Cubic and Quartic Functional Equation -- -Aditive Mappings and Hyers#x2013;Ulam Stability -- The Stability and Asymptotic Behavior of Quadratic Mappings on Restricted Domains -- A Fixed Point Approach to the Stability of a Logarithmic Functional Equation -- Fixed Points and Stability of the Cauchy Functional Equation in Lie -Algebras -- Fixed Points and Stability of Functional Equations -- Compression#x2013;Expansion Critical Point Theorems in Conical Shells -- Gronwall Lemma Approach to the Hyers#x2013;Ulam#x2013;Rassias Stability of an Integral Equation -- Brezis-Browder Principles and Applications -- II Variational Problems -- A Generalized Quasi-Equilibrium Problem -- Double-Layer and Hybrid Dynamics of Equilibrium Problems: Applications to Markets of Environmental Products -- A Panoramic View on Projected Dynamical Systems -- Foundations of Set-Semidefinite Optimization -- On the Envelope of a Variational Inequality -- On the Nonlinear Generalized Ordered Complementarity Problem -- Optimality Conditions for Several Types of Efficient Solutions of Set-Valued Optimization Problems -- Mean Value Theorems for the Scalar Derivative and Applications -- Application of a Vector-Valued Ekeland-Type Variational Principle for Deriving Optimality Conditions -- Nonlinear Variational Methods for Estimating Effective Properties of Multiscale Materials -- On Common Linear/Quadratic Lyapunov Functions for Switched Linear Systems -- Nonlinear Problems in Mathematical Programming and Optimal Control -- On Variational Inequalities Involving Mappings of Type (S) -- Completely Generalized Co-complementarity Problems Involving -Relaxed Accretive Operators with Fuzzy Mappings -- Generating Eigenvalue Bounds Using Optimization En línea: http://dx.doi.org/10.1007/978-1-4419-0158-3 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=33572 Nonlinear Analysis and Variational Problems : In Honor of George Isac [documento electrónico] / SpringerLink (Online service) ; Panos M. Pardalos ; Themistocles M. Rassias ; Akhtar A. Khan . - New York, NY : Springer New York, 2010 . - XXVII, 490 p. 13 illus : online resource. - (Springer Optimization and Its Applications, ISSN 1931-6828; 35) .
ISBN : 978-1-4419-0158-3
Idioma : Inglés (eng)
Palabras clave: Mathematics Mathematical analysis Analysis (Mathematics) Global Manifolds Operator theory Potential Calculus of variations Operations research Management science Research, Science Theory and on Variations Optimal Control; Optimization Clasificación: 51 Matemáticas Resumen: The chapters in this volume, written by international experts from different fields of mathematics, are devoted to honoring George Isac, a renowned mathematician. These contributions focus on recent developments in complementarity theory, variational principles, stability theory of functional equations, nonsmooth optimization, and several other important topics at the forefront of nonlinear analysis and optimization. "Nonlinear Analysis and Variational Problems" is organized into two parts. Part I, Nonlinear Analysis, centers on stability issues for functional equations, fixed point theorems, critical point theorems, W*-algebras, the Brezis–Browder principle, and related topics. Part II, Variational Problems, addresses several important aspects of optimization and variational methods. This includes equilibrium problems, projected dynamical system, set-valued and set-semidefinite optimization, variational inequalities, variational principles, complementarity problems, and problems in optimal control. In the last few decades, the theory of complementarity, functional stability and variational principles have provided a unified framework for dealing with a wide range of problems in diverse branches of pure and applied mathematics, such as finance, operations research, economics, network analysis, control theory, biology, and others. This volume is well-suited to graduate students as well as researchers and practitioners in the fields of pure and applied mathematics, social sciences, economics, operations research, engineering, and related sciences Nota de contenido: I Nonlinear Analysis -- Discrete Approximation Processes of King#x2019;s Type -- Isometrics in Non-Archimedean Strictly Convex and Strictly 2-Convex 2-Normed Spaces -- Fixed Points and Generalized Stability for -Additive Mappings of Isac-Rassias Type -- A Remark on W#x002A;-Tensor Products of W#x002A;-Algebras -- The Perturbed Median Principle for Integral Inequalities with Applications -- Stability of a Mixed Type Additive, Quadratic, Cubic and Quartic Functional Equation -- -Aditive Mappings and Hyers#x2013;Ulam Stability -- The Stability and Asymptotic Behavior of Quadratic Mappings on Restricted Domains -- A Fixed Point Approach to the Stability of a Logarithmic Functional Equation -- Fixed Points and Stability of the Cauchy Functional Equation in Lie -Algebras -- Fixed Points and Stability of Functional Equations -- Compression#x2013;Expansion Critical Point Theorems in Conical Shells -- Gronwall Lemma Approach to the Hyers#x2013;Ulam#x2013;Rassias Stability of an Integral Equation -- Brezis-Browder Principles and Applications -- II Variational Problems -- A Generalized Quasi-Equilibrium Problem -- Double-Layer and Hybrid Dynamics of Equilibrium Problems: Applications to Markets of Environmental Products -- A Panoramic View on Projected Dynamical Systems -- Foundations of Set-Semidefinite Optimization -- On the Envelope of a Variational Inequality -- On the Nonlinear Generalized Ordered Complementarity Problem -- Optimality Conditions for Several Types of Efficient Solutions of Set-Valued Optimization Problems -- Mean Value Theorems for the Scalar Derivative and Applications -- Application of a Vector-Valued Ekeland-Type Variational Principle for Deriving Optimality Conditions -- Nonlinear Variational Methods for Estimating Effective Properties of Multiscale Materials -- On Common Linear/Quadratic Lyapunov Functions for Switched Linear Systems -- Nonlinear Problems in Mathematical Programming and Optimal Control -- On Variational Inequalities Involving Mappings of Type (S) -- Completely Generalized Co-complementarity Problems Involving -Relaxed Accretive Operators with Fuzzy Mappings -- Generating Eigenvalue Bounds Using Optimization En línea: http://dx.doi.org/10.1007/978-1-4419-0158-3 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=33572 Ejemplares
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Título : Stability of Functional Equations in Random Normed Spaces Tipo de documento: documento electrónico Autores: Yeol Je Cho ; SpringerLink (Online service) ; Themistocles M. Rassias ; Reza Saadati Editorial: New York, NY : Springer New York Fecha de publicación: 2013 Otro editor: Imprint: Springer Colección: Springer Optimization and Its Applications, ISSN 1931-6828 num. 86 Número de páginas: XIX, 246 p Il.: online resource ISBN/ISSN/DL: 978-1-4614-8477-6 Idioma : Inglés (eng) Palabras clave: Mathematics Functional analysis Partial differential equations Mathematical optimization Analysis Optimization Differential Equations Clasificación: 51 Matemáticas Resumen: This book discusses the rapidly developing subject of mathematical analysis that deals primarily with stability of functional equations in generalized spaces. The fundamental problem in this subject was proposed by Stan M. Ulam in 1940 for approximate homomorphisms. The seminal work of Donald H. Hyers in 1941 and that of Themistocles M. Rassias in 1978 have provided a great deal of inspiration and guidance for mathematicians worldwide to investigate this extensive domain of research. The book presents a self-contained survey of recent and new results on topics including basic theory of random normed spaces and related spaces; stability theory for new function equations in random normed spaces via fixed point method, under both special and arbitrary t-norms; stability theory of well-known new functional equations in non-Archimedean random normed spaces; and applications in the class of fuzzy normed spaces. It contains valuable results on stability in random normed spaces, and is geared toward both graduate students and research mathematicians and engineers in a broad area of interdisciplinary research Nota de contenido: Preface -- 1. Preliminaries -- 2. Generalized Spaces -- 3. Stability of Functional Equations in Random Normed Spaces Under Special t-norms -- 4. Stability of Functional Equations in Random Normed Spaces Under Arbitrary t-norms -- 5. Stability of Functional Equations in random Normed Spaces via Fixed Point Method -- 6. Stability of Functional Equations in Non-Archimedean Random Spaces -- 7. Random Stability of Functional Equations Related to Inner Product Spaces -- 8. Random Banach Algebras and Stability Results En línea: http://dx.doi.org/10.1007/978-1-4614-8477-6 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=32390 Stability of Functional Equations in Random Normed Spaces [documento electrónico] / Yeol Je Cho ; SpringerLink (Online service) ; Themistocles M. Rassias ; Reza Saadati . - New York, NY : Springer New York : Imprint: Springer, 2013 . - XIX, 246 p : online resource. - (Springer Optimization and Its Applications, ISSN 1931-6828; 86) .
ISBN : 978-1-4614-8477-6
Idioma : Inglés (eng)
Palabras clave: Mathematics Functional analysis Partial differential equations Mathematical optimization Analysis Optimization Differential Equations Clasificación: 51 Matemáticas Resumen: This book discusses the rapidly developing subject of mathematical analysis that deals primarily with stability of functional equations in generalized spaces. The fundamental problem in this subject was proposed by Stan M. Ulam in 1940 for approximate homomorphisms. The seminal work of Donald H. Hyers in 1941 and that of Themistocles M. Rassias in 1978 have provided a great deal of inspiration and guidance for mathematicians worldwide to investigate this extensive domain of research. The book presents a self-contained survey of recent and new results on topics including basic theory of random normed spaces and related spaces; stability theory for new function equations in random normed spaces via fixed point method, under both special and arbitrary t-norms; stability theory of well-known new functional equations in non-Archimedean random normed spaces; and applications in the class of fuzzy normed spaces. It contains valuable results on stability in random normed spaces, and is geared toward both graduate students and research mathematicians and engineers in a broad area of interdisciplinary research Nota de contenido: Preface -- 1. Preliminaries -- 2. Generalized Spaces -- 3. Stability of Functional Equations in Random Normed Spaces Under Special t-norms -- 4. Stability of Functional Equations in Random Normed Spaces Under Arbitrary t-norms -- 5. Stability of Functional Equations in random Normed Spaces via Fixed Point Method -- 6. Stability of Functional Equations in Non-Archimedean Random Spaces -- 7. Random Stability of Functional Equations Related to Inner Product Spaces -- 8. Random Banach Algebras and Stability Results En línea: http://dx.doi.org/10.1007/978-1-4614-8477-6 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=32390 Ejemplares
Signatura Medio Ubicación Sub-localización Sección Estado ningún ejemplar