Frontiers in Functional Equations and Analytic Inequalities
Editors: Anastassiou, George, Rassias, John Michael (Eds.)
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 Presents cuttingedge research from the frontiers of functional equations and analytic inequalities active fields
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 About this book

This volume presents cutting edge research from the frontiers of functional equations and analytic inequalities active fields. It covers the subject of functional equations in a broad sense, including but not limited to the following topics:
 Hyperstability of a linear functional equation on restricted domains
 Hyers–Ulam’s stability results to a three point boundary value problem of nonlinear fractional order differential equations
 Topological degree theory and Ulam’s stability analysis of a boundary value problem of fractional differential equations
 General Solution and HyersUlam Stability of Duo Trigintic Functional Equation in MultiBanach Spaces
 Stabilities of Functional Equations via Fixed Point Technique
 Measure zero stability problem for the Drygas functional equation with complex involution
 Fourier Transforms and Ulam Stabilities of Linear Differential Equations
 Hyers–Ulam stability of a discrete diamond–alpha derivative equation
 Approximate solutions of an interesting new mixed type additivequadraticquartic functional equation.
The diverse selection of inequalities covered includes Opial, HilbertPachpatte, Ostrowski, comparison of means, Poincare, Sobolev, Landau, PolyaOstrowski, Hardy, HermiteHadamard, Levinson, and complex Korovkin type. The inequalities are also in the environments of Fractional Calculus and Conformable Fractional Calculus. Applications from this book's results can be found in many areas of pure and applied mathematics, especially in ordinary and partial differential equations and fractional differential equations. As such, this volume is suitable for researchers, graduate students and related seminars, and all science and engineering libraries. The exhibited thirty six chapters are selfcontained and can be read independently and interesting advanced seminars can be given out of this book.  About the authors

George Anastassiou is Professor at the University of Memphis. Research interests include Computational analysis, approximation theory, probability, theory of moments. Professor Anastassiou has authored and edited several publications with Springer including "Fractional Differentiation Inequalities" (c) 2009, "Fuzzy Mathematics: Approximation Theory" (c) 2010, "Intelligent Systems: Approximation by Artificial Neural Networks" (c) 2014, "The History of Approximation Theory" (c) 2005, "Modern Differential Geometry in Gauge Theories" (c) 2006, and more.
John Michael Rassias is a Ph.D. graduate of the University of California, Berkeley. He is currently Emeritus Professor of the National and Kapodistrian University of Athens, Greece. Professor John M. Rassias is a leading mathematician and researcher in Mathematics. He has published academic papers in the following research areas: Functional Equations and Inequalities (more than 300 papers) in peerreviewed leading scientific journals. Partial Differential Equations (more than 100 papers). He has also published 36 books and monographs in Mathematics.
 Table of contents (36 chapters)


Complex Korovkin Theory via Inequalities: A Quantitative Approach
Pages 326

Hyperstability of a Linear Functional Equation on Restricted Domains
Pages 2742

Hyers–Ulam’s Stability Results to a ThreePoint Boundary Value Problem of Nonlinear Fractional Order Differential Equations
Pages 4571

Topological Degree Theory and Ulam’s Stability Analysis of a Boundary Value Problem of Fractional Differential Equations
Pages 7392

On a Variant of μWilson’s Functional Equation with an Endomorphism
Pages 93111

Table of contents (36 chapters)
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Bibliographic Information
 Bibliographic Information

 Book Title
 Frontiers in Functional Equations and Analytic Inequalities
 Editors

 George Anastassiou
 John Michael Rassias
 Copyright
 2019
 Publisher
 Springer International Publishing
 Copyright Holder
 Springer Nature Switzerland AG
 eBook ISBN
 9783030289508
 DOI
 10.1007/9783030289508
 Hardcover ISBN
 9783030289492
 Edition Number
 1
 Number of Pages
 XIV, 753
 Number of Illustrations
 8 b/w illustrations, 5 illustrations in colour
 Topics