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Functional Equations, Inequalities, and Applications

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Functional Equations, Inequalities, and Applications Synopsis

Functional Equations, Inequalities and Applications provides an extensive study of several important equations and inequalities, useful in a number of problems in mathematical analysis. Subjects dealt with include the generalized Cauchy functional equation, the Ulam stability theory in the geometry of partial differential equations, stability of a quadratic functional equation in Banach modules, functional equations and mean value theorems, isometric mappings, functional inequalities of iterative type, related to a Cauchy functional equation, the median principle for inequalities and applications, Hadamard and Dragomir-Agarwal inequalities, the Euler formulae and convex functions and approximate algebra homomorphisms. Also included are applications to some problems of pure and applied mathematics.

This book will be of particular interest to mathematicians and graduate students whose work involves functional equations, inequalities and applications.

About This Edition

ISBN: 9789048164066
Publication date: 30th December 2010
Author: Themistocles M Rassias
Publisher: Springer an imprint of Springer Netherlands
Format: Paperback
Pagination: 236 pages
Genres: Differential calculus and equations
Real analysis, real variables
Functional analysis and transforms