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Autor George A. Anastassiou |
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Refinar búsquedaAdvances in Applied Mathematics and Approximation Theory / SpringerLink (Online service) ; George A. Anastassiou ; Oktay Duman (2013)
Título : Advances in Applied Mathematics and Approximation Theory : Contributions from AMAT 2012 Tipo de documento: documento electrónico Autores: SpringerLink (Online service) ; George A. Anastassiou ; Oktay Duman Editorial: New York, NY : Springer New York Fecha de publicación: 2013 Otro editor: Imprint: Springer Colección: Springer Proceedings in Mathematics & Statistics, ISSN 2194-1009 num. 41 Número de páginas: XIX, 486 p Il.: online resource ISBN/ISSN/DL: 978-1-4614-6393-1 Idioma : Inglés (eng) Palabras clave: Mathematics Approximation theory Differential equations Partial differential Applied mathematics Engineering Approximations and Expansions Ordinary Equations Applications of Clasificación: 51 Matemáticas Resumen: Advances in Applied Mathematics and Approximation Theory: Contributions from AMAT 2012 is a collection of the best articles presented at “Applied Mathematics and Approximation Theory 2012,” an international conference held in Ankara, Turkey, May 17-20, 2012. This volume brings together key work from authors in the field covering topics such as ODEs, PDEs, difference equations, applied analysis, computational analysis, signal theory, positive operators, statistical approximation, fuzzy approximation, fractional analysis, semigroups, inequalities, special functions and summability. The collection will be a useful resource for researchers in applied mathematics, engineering and statistics Nota de contenido: Approximation by Neural Networks Iterates. George A. Anastassiou -- Univariate Hardy Type Fractional Inequalities. George A. Anastassiou -- Statistical Convergence on Time Scales and its Characterizations. Ceylan Turan and Oktay Duman -- On the g-Jacobi Matrix Functions Bayram Cz ekim and Esra Erkusz-Duman -- Linear Combinations of Genuine Sz´asz-Mirakjan-Durrmeyer Operators. Margareta Heilmann and Gancho Tachev -- Extensions of Schur’s Inequality for the Leading Coefficient of Bounded Polynomials with Two Prescribed Zeros. Heinz-Joachim Rack -- An Example of Optimal Nodes for Interpolation Revisited. Heinz-Joachim Rack -- Theory of Differential Approximations of Radiative Transfer Equation. Weimin Han, Joseph A. Eichholz and Qiwei Sheng -- Inverse Spectral Problems for Complex Jacobi Matrices. Gusein Sh. Guseinov -- To Approximate Solution of Ordinary Differential Equations, I. Tamaz S. Vashakmadze -- A Hybrid Method for Inverse Scattering Problem for a Dielectric. Ahmet Altundag -- Solving Second Order Discrete Sturm-Liouville BVP Using Matrix Pencils. Michael K. Wilson and Aihua Li -- Approximation Formulas for the Ergodic Moments of Gaussian Random Walk with a Reflecting Barrier. Tahir Khaniyev, Basak Gever and Zulfiyya Mammadova -- A Generalization of Some Orthogonal Polynomials. Boussayoud Ali, Kerada Mohamed and Abdelhamid Abderrezzak -- Numerical Study of the High-Contrast Stokes Equation and its Robust Preconditioning. Burak Aksoylu and Zuhal Unlu -- Extension of Karmarkar’s Algorithm for Solving an Optimization Problem. El Amir Djeffal, Lakhdar Djeffal and Djamel Benterki -- State Dependent Sweeping Process with Perturbation. Tahar Haddad and Touma Haddad -- Boundary Value Problems for Impulsive Fractional Differential Equations with Non-Local Conditions. Hilmi Ergoren and M. Giyas Sakar -- The Construction of Particular Solutions of the Nonlinear Equation of Schodinger Type. K.R. Yesmakhanova and Zh.R. Myrzakulova -- A Method of Solution for Integro-Differential Parabolic Equation with Purely Integral Conditions. Ahcene Merad and Abdelfatah Bouziani -- A Better Error Estimation On Sz´asz Baskakov Durrmeyer Operators. Neha Bhardwaj and Naokant Deo -- About New Class of Volterra Type Integral Equations with Boundary Singularity in Kernels. Nusrat Rajabov -- Fractional Integration of the Product of Two Multivariables H-Function and a General Class of Polynomials. Praveen Agarwal -- Non-Asymptotic Norm Estimates for the q-Bernstein Operators. Sofiya Ostrovska and Ahmet Yaszar O¨ zban -- Approximation Techniques in Impulsive Control Problems for the Tubes of Solutions of Uncertain Differential Systems. Tatiana Filippova -- A New Viewpoint to Fourier Analysis in Fractal Space. Mengke Liao, Xiaojun Yang and Qin Yan -- Non-Solvability of Balakrishnan-Taylor Equation With Memory Term in RN , Abderrahmane Zarai and Nasser-eddine Tatar -- Study of Third-Order Three-Point Boundary Value Problem With Dependence on the First Order Derivative. A. Guezane-Lakoud and L. Zenkoufi -- Reverse and Forward Fractional Integral Inequalities. George A. Anastassiou and Razvan A. Mezei En línea: http://dx.doi.org/10.1007/978-1-4614-6393-1 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=32303 Advances in Applied Mathematics and Approximation Theory : Contributions from AMAT 2012 [documento electrónico] / SpringerLink (Online service) ; George A. Anastassiou ; Oktay Duman . - New York, NY : Springer New York : Imprint: Springer, 2013 . - XIX, 486 p : online resource. - (Springer Proceedings in Mathematics & Statistics, ISSN 2194-1009; 41) .
ISBN : 978-1-4614-6393-1
Idioma : Inglés (eng)
Palabras clave: Mathematics Approximation theory Differential equations Partial differential Applied mathematics Engineering Approximations and Expansions Ordinary Equations Applications of Clasificación: 51 Matemáticas Resumen: Advances in Applied Mathematics and Approximation Theory: Contributions from AMAT 2012 is a collection of the best articles presented at “Applied Mathematics and Approximation Theory 2012,” an international conference held in Ankara, Turkey, May 17-20, 2012. This volume brings together key work from authors in the field covering topics such as ODEs, PDEs, difference equations, applied analysis, computational analysis, signal theory, positive operators, statistical approximation, fuzzy approximation, fractional analysis, semigroups, inequalities, special functions and summability. The collection will be a useful resource for researchers in applied mathematics, engineering and statistics Nota de contenido: Approximation by Neural Networks Iterates. George A. Anastassiou -- Univariate Hardy Type Fractional Inequalities. George A. Anastassiou -- Statistical Convergence on Time Scales and its Characterizations. Ceylan Turan and Oktay Duman -- On the g-Jacobi Matrix Functions Bayram Cz ekim and Esra Erkusz-Duman -- Linear Combinations of Genuine Sz´asz-Mirakjan-Durrmeyer Operators. Margareta Heilmann and Gancho Tachev -- Extensions of Schur’s Inequality for the Leading Coefficient of Bounded Polynomials with Two Prescribed Zeros. Heinz-Joachim Rack -- An Example of Optimal Nodes for Interpolation Revisited. Heinz-Joachim Rack -- Theory of Differential Approximations of Radiative Transfer Equation. Weimin Han, Joseph A. Eichholz and Qiwei Sheng -- Inverse Spectral Problems for Complex Jacobi Matrices. Gusein Sh. Guseinov -- To Approximate Solution of Ordinary Differential Equations, I. Tamaz S. Vashakmadze -- A Hybrid Method for Inverse Scattering Problem for a Dielectric. Ahmet Altundag -- Solving Second Order Discrete Sturm-Liouville BVP Using Matrix Pencils. Michael K. Wilson and Aihua Li -- Approximation Formulas for the Ergodic Moments of Gaussian Random Walk with a Reflecting Barrier. Tahir Khaniyev, Basak Gever and Zulfiyya Mammadova -- A Generalization of Some Orthogonal Polynomials. Boussayoud Ali, Kerada Mohamed and Abdelhamid Abderrezzak -- Numerical Study of the High-Contrast Stokes Equation and its Robust Preconditioning. Burak Aksoylu and Zuhal Unlu -- Extension of Karmarkar’s Algorithm for Solving an Optimization Problem. El Amir Djeffal, Lakhdar Djeffal and Djamel Benterki -- State Dependent Sweeping Process with Perturbation. Tahar Haddad and Touma Haddad -- Boundary Value Problems for Impulsive Fractional Differential Equations with Non-Local Conditions. Hilmi Ergoren and M. Giyas Sakar -- The Construction of Particular Solutions of the Nonlinear Equation of Schodinger Type. K.R. Yesmakhanova and Zh.R. Myrzakulova -- A Method of Solution for Integro-Differential Parabolic Equation with Purely Integral Conditions. Ahcene Merad and Abdelfatah Bouziani -- A Better Error Estimation On Sz´asz Baskakov Durrmeyer Operators. Neha Bhardwaj and Naokant Deo -- About New Class of Volterra Type Integral Equations with Boundary Singularity in Kernels. Nusrat Rajabov -- Fractional Integration of the Product of Two Multivariables H-Function and a General Class of Polynomials. Praveen Agarwal -- Non-Asymptotic Norm Estimates for the q-Bernstein Operators. Sofiya Ostrovska and Ahmet Yaszar O¨ zban -- Approximation Techniques in Impulsive Control Problems for the Tubes of Solutions of Uncertain Differential Systems. Tatiana Filippova -- A New Viewpoint to Fourier Analysis in Fractal Space. Mengke Liao, Xiaojun Yang and Qin Yan -- Non-Solvability of Balakrishnan-Taylor Equation With Memory Term in RN , Abderrahmane Zarai and Nasser-eddine Tatar -- Study of Third-Order Three-Point Boundary Value Problem With Dependence on the First Order Derivative. A. Guezane-Lakoud and L. Zenkoufi -- Reverse and Forward Fractional Integral Inequalities. George A. Anastassiou and Razvan A. Mezei En línea: http://dx.doi.org/10.1007/978-1-4614-6393-1 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=32303 Ejemplares
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Título : Advances on Fractional Inequalities Tipo de documento: documento electrónico Autores: George A. Anastassiou ; SpringerLink (Online service) Editorial: New York, NY : Springer New York Fecha de publicación: 2011 Colección: SpringerBriefs in Mathematics, ISSN 2191-8198 Número de páginas: X, 122 p Il.: online resource ISBN/ISSN/DL: 978-1-4614-0703-4 Idioma : Inglés (eng) Palabras clave: Mathematics Differential equations Functions of real variables Calculus variations Ordinary Equations Variations and Optimal Control; Optimization Real Clasificación: 51 Matemáticas Resumen: Advances on Fractional Inequalities use primarily the Caputo fractional derivative, as the most important in applications, and presents the first fractional differentiation inequalities of Opial type which involves the balanced fractional derivatives. The book continues with right and mixed fractional differentiation Ostrowski inequalities in the univariate and multivariate cases. Next the right and left, as well as mixed, Landau fractional differentiation inequalities in the univariate and multivariate cases are illustrated. Throughout the book many applications are given. Fractional differentiation inequalities are by themselves an important and great mathematical topic for research. Furthermore they have many applications, the most important ones are in establishing uniqueness of solution in fractional differential equations and systems and in fractional partial differential equations. Also they provide upper bounds to the solutions of the above equations. Fractional Calculus has emerged as very useful over the last forty years due to its many applications in almost all applied sciences. This is currently seen in applications in acoustic wave propagation in inhomogeneous porous material, diffusive transport, fluid flow, dynamical processes in self-similar structures, dynamics of earthquakes, optics, geology, viscoelastic materials, bio-sciences, bioengineering, medicine, economics, probability and statistics, astrophysics, chemical engineering, physics, splines, tomography, fluid mechanics, electromagnetic waves, nonlinear control, signal processing, control of power electronic, converters, chaotic dynamics, polymer science, proteins, polymer physics, electrochemistry, statistical physics, rheology, thermodynamics, neural networks, etc. Almost all fields of research in science and engineering use fractional calculus in order to describe results. This book is a part of Fractional Calculus, therefore it is useful for researchers and graduate students for research, seminars and advanced graduate courses, in pure and applied mathematics, engineering and all other applied sciences En línea: http://dx.doi.org/10.1007/978-1-4614-0703-4 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=33231 Advances on Fractional Inequalities [documento electrónico] / George A. Anastassiou ; SpringerLink (Online service) . - New York, NY : Springer New York, 2011 . - X, 122 p : online resource. - (SpringerBriefs in Mathematics, ISSN 2191-8198) .
ISBN : 978-1-4614-0703-4
Idioma : Inglés (eng)
Palabras clave: Mathematics Differential equations Functions of real variables Calculus variations Ordinary Equations Variations and Optimal Control; Optimization Real Clasificación: 51 Matemáticas Resumen: Advances on Fractional Inequalities use primarily the Caputo fractional derivative, as the most important in applications, and presents the first fractional differentiation inequalities of Opial type which involves the balanced fractional derivatives. The book continues with right and mixed fractional differentiation Ostrowski inequalities in the univariate and multivariate cases. Next the right and left, as well as mixed, Landau fractional differentiation inequalities in the univariate and multivariate cases are illustrated. Throughout the book many applications are given. Fractional differentiation inequalities are by themselves an important and great mathematical topic for research. Furthermore they have many applications, the most important ones are in establishing uniqueness of solution in fractional differential equations and systems and in fractional partial differential equations. Also they provide upper bounds to the solutions of the above equations. Fractional Calculus has emerged as very useful over the last forty years due to its many applications in almost all applied sciences. This is currently seen in applications in acoustic wave propagation in inhomogeneous porous material, diffusive transport, fluid flow, dynamical processes in self-similar structures, dynamics of earthquakes, optics, geology, viscoelastic materials, bio-sciences, bioengineering, medicine, economics, probability and statistics, astrophysics, chemical engineering, physics, splines, tomography, fluid mechanics, electromagnetic waves, nonlinear control, signal processing, control of power electronic, converters, chaotic dynamics, polymer science, proteins, polymer physics, electrochemistry, statistical physics, rheology, thermodynamics, neural networks, etc. Almost all fields of research in science and engineering use fractional calculus in order to describe results. This book is a part of Fractional Calculus, therefore it is useful for researchers and graduate students for research, seminars and advanced graduate courses, in pure and applied mathematics, engineering and all other applied sciences En línea: http://dx.doi.org/10.1007/978-1-4614-0703-4 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=33231 Ejemplares
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Título : Approximation by Multivariate Singular Integrals Tipo de documento: documento electrónico Autores: George A. Anastassiou ; SpringerLink (Online service) Editorial: New York, NY : Springer New York Fecha de publicación: 2011 Colección: SpringerBriefs in Mathematics, ISSN 2191-8198 Número de páginas: X, 79 p Il.: online resource ISBN/ISSN/DL: 978-1-4614-0589-4 Idioma : Inglés (eng) Palabras clave: Mathematics Integral transforms Operational calculus Partial differential equations Probabilities Transforms, Calculus Differential Equations Probability Theory and Stochastic Processes Clasificación: 51 Matemáticas Resumen: Approximation by Multivariate Singular Integrals is the first monograph to illustrate the approximation of multivariate singular integrals to the identity-unit operator. The basic approximation properties of the general multivariate singular integral operators is presented quantitatively, particularly special cases such as the multivariate Picard, Gauss-Weierstrass, Poisson-Cauchy and trigonometric singular integral operators are examined thoroughly. This book studies the rate of convergence of these operators to the unit operator as well as the related simultaneous approximation. The last chapter, which includes many examples, presents a related Korovkin type approximation theorem for functions of two variables. Relevant background information and motivation is included in this exposition, and as a result this book can be used as supplementary text for several advanced courses. The results presented apply to many areas of pure and applied mathematics, such a mathematical analysis, probability, statistics and partial differential equations. This book is appropriate for researchers and selected seminars at the graduate level En línea: http://dx.doi.org/10.1007/978-1-4614-0589-4 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=33229 Approximation by Multivariate Singular Integrals [documento electrónico] / George A. Anastassiou ; SpringerLink (Online service) . - New York, NY : Springer New York, 2011 . - X, 79 p : online resource. - (SpringerBriefs in Mathematics, ISSN 2191-8198) .
ISBN : 978-1-4614-0589-4
Idioma : Inglés (eng)
Palabras clave: Mathematics Integral transforms Operational calculus Partial differential equations Probabilities Transforms, Calculus Differential Equations Probability Theory and Stochastic Processes Clasificación: 51 Matemáticas Resumen: Approximation by Multivariate Singular Integrals is the first monograph to illustrate the approximation of multivariate singular integrals to the identity-unit operator. The basic approximation properties of the general multivariate singular integral operators is presented quantitatively, particularly special cases such as the multivariate Picard, Gauss-Weierstrass, Poisson-Cauchy and trigonometric singular integral operators are examined thoroughly. This book studies the rate of convergence of these operators to the unit operator as well as the related simultaneous approximation. The last chapter, which includes many examples, presents a related Korovkin type approximation theorem for functions of two variables. Relevant background information and motivation is included in this exposition, and as a result this book can be used as supplementary text for several advanced courses. The results presented apply to many areas of pure and applied mathematics, such a mathematical analysis, probability, statistics and partial differential equations. This book is appropriate for researchers and selected seminars at the graduate level En línea: http://dx.doi.org/10.1007/978-1-4614-0589-4 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=33229 Ejemplares
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Título : Fractional Differentiation Inequalities Tipo de documento: documento electrónico Autores: George A. Anastassiou ; SpringerLink (Online service) Editorial: New York, NY : Springer New York Fecha de publicación: 2009 Número de páginas: XIV, 686 p Il.: online resource ISBN/ISSN/DL: 978-0-387-98128-4 Idioma : Inglés (eng) Palabras clave: Mathematics Functional analysis Integral transforms Operational calculus Differential equations Partial differential Ordinary Equations Analysis Transforms, Calculus Clasificación: 51 Matemáticas Resumen: Fractional differentiation inequalities are by themselves an important area of research. They have many applications in pure and applied mathematics and many other applied sciences. One of the most important applications is in establishing the uniqueness of a solution in fractional differential equations and systems and in fractional partial differential equations. They also provide upper bounds to the solutions of the above equations. In this book the author presents the Opial, Poincaré, Sobolev, Hilbert, and Ostrowski fractional differentiation inequalities. Results for the above are derived using three different types of fractional derivatives, namely by Canavati, Riemann-Liouville and Caputo. The univariate and multivariate cases are both examined. Each chapter is self-contained. The theory is presented systematically along with the applications. The application to information theory is also examined. This monograph is suitable for researchers and graduate students in pure mathematics. Applied mathematicians, engineers, and other applied scientists will also find this book useful Nota de contenido: Opial#x2013;Type Inequalities for Functions and Their Ordinary and Canavati Fractional Derivatives -- Canavati Fractional Opial#x2013;Type Inequalities and Fractional Differential Equations -- Riemann#x2014;Liouville Opial#x2014;type Inequalities for Fractional Derivatives -- Opial#x2013;type #x2013;Inequalities for Riemann#x2014;Liouville Fractional Derivatives -- Opial#x2013;Type Inequalities Involving Canavati Fractional Derivatives of Two Functions and Applications -- Opial#x2013;Type Inequalities for Riemann#x2014;Liouville Fractional Derivatives of Two Functions with Applications -- Canavati Fractional Opial#x2013;Type Inequalities for Several Functions and Applications -- Riemann#x2014;Liouville Fractional#x2013;Opial Type Inequalities for Several Functions and Applications -- Converse Canavati Fractional Opial#x2013;Type Inequalities for Several Functions -- Converse Riemann#x2014;Liouville Fractional Opial#x2013;Type Inequalities for Several Functions -- Multivariate Canavati Fractional Taylor Formula -- Multivariate Caputo Fractional Taylor Formula -- Canavati Fractional Multivariate Opial#x2013;Type Inequalities on Spherical Shells -- Riemann#x2014;Liouville Fractional Multivariate Opial#x2013;type inequalities over a spherical shell -- Caputo Fractional Multivariate Opial#x2013;Type Inequalities over a Spherical Shell -- Poincar#x00E9;#x2013;Type Fractional Inequalities -- Various Sobolev#x2013;Type Fractional Inequalities -- General Hilbert#x2014;Pachpatte#x2013;Type Integral Inequalities -- General Multivariate Hilbert#x2014;Pachpatte#x2013;Type Integral Inequalities -- Other Hilbert#x2014;Pachpatte#x2013;Type Fractional Integral Inequalities -- Canavati Fractional and Other Approximation of Csiszar#x2019;s #x2013;Divergence -- Caputo and Riemann#x2014;Liouville Fractional Approximation of Csiszar#x2019;s #x2013;Divergence -- Canavati Fractional Ostrowski#x2013;Type Inequalities -- Multivariate Canavati Fractional Ostrowski#x2013;Type Inequalities -- Caputo Fractional Ostrowski#x2013;Type Inequalities En línea: http://dx.doi.org/10.1007/978-0-387-98128-4 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=33928 Fractional Differentiation Inequalities [documento electrónico] / George A. Anastassiou ; SpringerLink (Online service) . - New York, NY : Springer New York, 2009 . - XIV, 686 p : online resource.
ISBN : 978-0-387-98128-4
Idioma : Inglés (eng)
Palabras clave: Mathematics Functional analysis Integral transforms Operational calculus Differential equations Partial differential Ordinary Equations Analysis Transforms, Calculus Clasificación: 51 Matemáticas Resumen: Fractional differentiation inequalities are by themselves an important area of research. They have many applications in pure and applied mathematics and many other applied sciences. One of the most important applications is in establishing the uniqueness of a solution in fractional differential equations and systems and in fractional partial differential equations. They also provide upper bounds to the solutions of the above equations. In this book the author presents the Opial, Poincaré, Sobolev, Hilbert, and Ostrowski fractional differentiation inequalities. Results for the above are derived using three different types of fractional derivatives, namely by Canavati, Riemann-Liouville and Caputo. The univariate and multivariate cases are both examined. Each chapter is self-contained. The theory is presented systematically along with the applications. The application to information theory is also examined. This monograph is suitable for researchers and graduate students in pure mathematics. Applied mathematicians, engineers, and other applied scientists will also find this book useful Nota de contenido: Opial#x2013;Type Inequalities for Functions and Their Ordinary and Canavati Fractional Derivatives -- Canavati Fractional Opial#x2013;Type Inequalities and Fractional Differential Equations -- Riemann#x2014;Liouville Opial#x2014;type Inequalities for Fractional Derivatives -- Opial#x2013;type #x2013;Inequalities for Riemann#x2014;Liouville Fractional Derivatives -- Opial#x2013;Type Inequalities Involving Canavati Fractional Derivatives of Two Functions and Applications -- Opial#x2013;Type Inequalities for Riemann#x2014;Liouville Fractional Derivatives of Two Functions with Applications -- Canavati Fractional Opial#x2013;Type Inequalities for Several Functions and Applications -- Riemann#x2014;Liouville Fractional#x2013;Opial Type Inequalities for Several Functions and Applications -- Converse Canavati Fractional Opial#x2013;Type Inequalities for Several Functions -- Converse Riemann#x2014;Liouville Fractional Opial#x2013;Type Inequalities for Several Functions -- Multivariate Canavati Fractional Taylor Formula -- Multivariate Caputo Fractional Taylor Formula -- Canavati Fractional Multivariate Opial#x2013;Type Inequalities on Spherical Shells -- Riemann#x2014;Liouville Fractional Multivariate Opial#x2013;type inequalities over a spherical shell -- Caputo Fractional Multivariate Opial#x2013;Type Inequalities over a Spherical Shell -- Poincar#x00E9;#x2013;Type Fractional Inequalities -- Various Sobolev#x2013;Type Fractional Inequalities -- General Hilbert#x2014;Pachpatte#x2013;Type Integral Inequalities -- General Multivariate Hilbert#x2014;Pachpatte#x2013;Type Integral Inequalities -- Other Hilbert#x2014;Pachpatte#x2013;Type Fractional Integral Inequalities -- Canavati Fractional and Other Approximation of Csiszar#x2019;s #x2013;Divergence -- Caputo and Riemann#x2014;Liouville Fractional Approximation of Csiszar#x2019;s #x2013;Divergence -- Canavati Fractional Ostrowski#x2013;Type Inequalities -- Multivariate Canavati Fractional Ostrowski#x2013;Type Inequalities -- Caputo Fractional Ostrowski#x2013;Type Inequalities En línea: http://dx.doi.org/10.1007/978-0-387-98128-4 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=33928 Ejemplares
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Título : Inequalities Based on Sobolev Representations Tipo de documento: documento electrónico Autores: George A. Anastassiou ; SpringerLink (Online service) Editorial: New York, NY : Springer New York Fecha de publicación: 2011 Colección: SpringerBriefs in Mathematics, ISSN 2191-8198 Número de páginas: IX, 65 p Il.: online resource ISBN/ISSN/DL: 978-1-4614-0201-5 Idioma : Inglés (eng) Palabras clave: Mathematics Functions of real variables Statistics Engineering design Real Statistics, general Design Clasificación: 51 Matemáticas Resumen: Inequalities based on Sobolev Representations deals exclusively with very general tight integral inequalities of Chebyshev-Grüss, Ostrowski types and of integral means, all of which depend upon the Sobolev integral representations of functions. Applications illustrate inequalities that engage in ordinary and weak partial derivatives of the involved functions. This book also derives important estimates for the averaged Taylor polynomials and remainders of Sobolev integral representations. The results are examined in all directions and through both univariate and multivariate cases. This book is suitable for researchers, graduate students, and seminars in subareas of mathematical analysis, inequalities, partial differential equations and information theory Nota de contenido: Part 1. -Univariate Integral Inequalities based on Sobolev representations -- Introduction -- Background. -Main Results. -Applications -- References. Part 2 -- Multivariate Integral Inequalities deriving from Sobolev representations.-Introduction.-Background.-Main Results -- Applications, References En línea: http://dx.doi.org/10.1007/978-1-4614-0201-5 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=33216 Inequalities Based on Sobolev Representations [documento electrónico] / George A. Anastassiou ; SpringerLink (Online service) . - New York, NY : Springer New York, 2011 . - IX, 65 p : online resource. - (SpringerBriefs in Mathematics, ISSN 2191-8198) .
ISBN : 978-1-4614-0201-5
Idioma : Inglés (eng)
Palabras clave: Mathematics Functions of real variables Statistics Engineering design Real Statistics, general Design Clasificación: 51 Matemáticas Resumen: Inequalities based on Sobolev Representations deals exclusively with very general tight integral inequalities of Chebyshev-Grüss, Ostrowski types and of integral means, all of which depend upon the Sobolev integral representations of functions. Applications illustrate inequalities that engage in ordinary and weak partial derivatives of the involved functions. This book also derives important estimates for the averaged Taylor polynomials and remainders of Sobolev integral representations. The results are examined in all directions and through both univariate and multivariate cases. This book is suitable for researchers, graduate students, and seminars in subareas of mathematical analysis, inequalities, partial differential equations and information theory Nota de contenido: Part 1. -Univariate Integral Inequalities based on Sobolev representations -- Introduction -- Background. -Main Results. -Applications -- References. Part 2 -- Multivariate Integral Inequalities deriving from Sobolev representations.-Introduction.-Background.-Main Results -- Applications, References En línea: http://dx.doi.org/10.1007/978-1-4614-0201-5 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=33216 Ejemplares
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