Overview
Focuses on various important areas of mathematics in which approximation methods play an essential role
Reader will be exposed to convexity theory, polynomial inequalities, extremal problems, prediction theory, fixed point theory for operators, PDEs, fractional integral inequalities, multidimensional numerical integration, Gauss-Jacobi and Hermite-Hadamard type inequalities, Hilbert-type inequalities, and Ulam’s stability of functional equations
Provides up-to-date results which may be useful to graduate students and researchers working in mathematics, physics, economics, operational research
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Table of contents (26 chapters)
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Front Matter
Keywords
About this book
This contributed volume focuses on various important areas of mathematics in which approximation methods play an essential role. It features cutting-edge research on a wide spectrum of analytic inequalities with emphasis on differential and integral inequalities in the spirit of functional analysis, operator theory, nonlinear analysis, variational calculus, featuring a plethora of applications, making this work a valuable resource. The reader will be exposed to convexity theory, polynomial inequalities, extremal problems, prediction theory, fixed point theory for operators, PDEs, fractional integral inequalities, multidimensional numerical integration, Gauss–Jacobi and Hermite–Hadamard type inequalities, Hilbert-type inequalities, and Ulam’s stability of functional equations. Contributions have been written by eminent researchers, providing up-to-date information and several results which may be useful to a wide readership including graduate students and researchers working in mathematics, physics, economics, operational research, and their interconnections.
Editors and Affiliations
About the editor
Themistocles M. Rassias is professor of mathematics at the National Technical University of Athens. His research interests include nonlinear analysis, global analysis, approximation theory, functional analysis, functional equations, inequalities and their applications. Professor Rassias received his PhD in mathematics from the University of California, Berkeley in 1976; his thesis advisor was Stephen Smale and his academic advisor was Shiing-Shen Chern. In addition to his extensive list of journal publications, Professor Rassias has published as author or volume editor several books published with Springer. Th. M. Rassias has received several awards and is an active editorial board member of an array of journals in mathematical analysis and optimization. His publications have received a large number of citations, with h-index 46.
Bibliographic Information
Book Title: Approximation Theory and Analytic Inequalities
Editors: Themistocles M. Rassias
DOI: https://doi.org/10.1007/978-3-030-60622-0
Publisher: Springer Cham
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: Springer Nature Switzerland AG 2021
Hardcover ISBN: 978-3-030-60621-3Published: 22 July 2021
Softcover ISBN: 978-3-030-60624-4Published: 23 July 2022
eBook ISBN: 978-3-030-60622-0Published: 21 July 2021
Edition Number: 1
Number of Pages: XII, 546
Number of Illustrations: 3 b/w illustrations, 15 illustrations in colour
Topics: Optimization, Approximations and Expansions, Difference and Functional Equations