Overview
- First handbook on the subject, complete with state-of-the-art research and applications of functional equations
- Contains contributions from leading experts in mathematics and engineering with an emphasis on functional equations and their applications
- Presents expository and survey chapters that will include recent developments, open questions and new research directions?
- Includes supplementary material: sn.pub/extras
Part of the book series: Springer Optimization and Its Applications (SOIA, volume 95)
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About this book
As Richard Bellman has so elegantly stated at the Second International Conference on General Inequalities (Oberwolfach, 1978), “There are three reasons for the study of inequalities: practical, theoretical, and aesthetic.” On the aesthetic aspects, he said, “As has been pointed out, beauty is in the eye of the beholder. However, it is generally agreed that certain pieces of music, art, or mathematics are beautiful. There is an elegance to inequalities that makes them very attractive.”
The content of the Handbook focuses mainly on both old and recent developments on approximate homomorphisms, on a relation between the Hardy–Hilbert and the Gabriel inequality, generalized Hardy–Hilbert type inequalities on multiple weighted Orlicz spaces, half-discrete Hilbert-type inequalities, on affine mappings, on contractive operators, on multiplicative Ostrowski and trapezoid inequalities, Ostrowski type inequalities for the Riemann–Stieltjes integral, means and related functional inequalities, Weighted Gini means, controlled additive relations, Szasz–Mirakyan operators, extremal problems in polynomials and entire functions, applications of functional equations to Dirichlet problem for doubly connected domains, nonlinear elliptic problems depending on parameters, on strongly convex functions, as well as applications to some new algorithms for solving general equilibrium problems, inequalities for the Fisher’s information measures, financial networks, mathematical models of mechanical fields in media with inclusions and holes.
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Keywords
Table of contents (20 chapters)
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Front Matter
Editors and Affiliations
Bibliographic Information
Book Title: Handbook of Functional Equations
Book Subtitle: Functional Inequalities
Editors: Themistocles M. Rassias
Series Title: Springer Optimization and Its Applications
DOI: https://doi.org/10.1007/978-1-4939-1246-9
Publisher: Springer New York, NY
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: Springer Science+Business Media, LLC 2014
Hardcover ISBN: 978-1-4939-1245-2Published: 19 November 2014
Softcover ISBN: 978-1-4939-5308-0Published: 23 August 2016
eBook ISBN: 978-1-4939-1246-9Published: 18 November 2014
Series ISSN: 1931-6828
Series E-ISSN: 1931-6836
Edition Number: 1
Number of Pages: XI, 555
Number of Illustrations: 12 b/w illustrations, 7 illustrations in colour
Topics: Difference and Functional Equations, Optimization, Mathematical and Computational Engineering, Special Functions, Functional Analysis, Mathematical Methods in Physics