Overview
- Covers essential tools for developing techniques in advanced optimization
- Serves as a solid reference for graduate students and researchers
- Each inequality is discussed with proven results, examples, and various applications
Part of the book series: Springer Optimization and Its Applications (SOIA, volume 151)
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Table of contents (29 chapters)
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Front Matter
Keywords
About this book
Theories, methods and problems in approximation theory and analytic inequalities with a focus on differential and integral inequalities are analyzed in this book. Fundamental and recent developments are presented on the inequalities of Abel, Agarwal, Beckenbach, Bessel, Cauchy–Hadamard, Chebychev, Markov, Euler’s constant, Grothendieck, Hilbert, Hardy, Carleman, Landau–Kolmogorov, Carlson, Bernstein–Mordell, Gronwall, Wirtinger, as well as inequalities of functions with their integrals and derivatives. Each inequality is discussed with proven results, examples and various applications. Graduate students and advanced research scientists in mathematical analysis will find this reference essential to their understanding of differential and integral inequalities. Engineers, economists, and physicists will find the highly applicable inequalities practical and useful to their research.
Editors and Affiliations
About the editors
Themistocles M. Rassias is a 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. Prof. 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 hisextensive list of journal publications, Prof. Rassias has published as author or editor many books and volumes with Springer. In addition to having received several awards, Themistocles M. Rassias’ work has received a large number of citations.
Bibliographic Information
Book Title: Differential and Integral Inequalities
Editors: Dorin Andrica, Themistocles M. Rassias
Series Title: Springer Optimization and Its Applications
DOI: https://doi.org/10.1007/978-3-030-27407-8
Publisher: Springer Cham
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: Springer Nature Switzerland AG 2019
Hardcover ISBN: 978-3-030-27406-1Published: 27 November 2019
Softcover ISBN: 978-3-030-27409-2Published: 27 November 2020
eBook ISBN: 978-3-030-27407-8Published: 14 November 2019
Series ISSN: 1931-6828
Series E-ISSN: 1931-6836
Edition Number: 1
Number of Pages: IX, 854
Number of Illustrations: 1 b/w illustrations, 1 illustrations in colour
Topics: Difference and Functional Equations, Approximations and Expansions, Real Functions, Abstract Harmonic Analysis, Functions of a Complex Variable, Convex and Discrete Geometry