Functional Equations and Inequalities by Themistocles M. Rassias, Paperback | Barnes & Noble
Functional Equations and Inequalities

Functional Equations and Inequalities

by Themistocles M. Rassias
     
 

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This volume provides an extensive study of some of the most important topics of current interest in functional equations and inequalities. Subjects dealt with include: a Pythagorean functional equation, a functional definition of trigonometric functions, the functional equation of the square root spiral, a conditional Cauchy functional equation, an iterative

Overview

This volume provides an extensive study of some of the most important topics of current interest in functional equations and inequalities. Subjects dealt with include: a Pythagorean functional equation, a functional definition of trigonometric functions, the functional equation of the square root spiral, a conditional Cauchy functional equation, an iterative functional equation, the Hille-type functional equation, the polynomial-like iterative functional equation, distribution of zeros and inequalities for zeros of algebraic polynomials, a qualitative study of Lobachevsky's complex functional equation, functional inequalities in special classes of functions, replicativity and function spaces, normal distributions, some difference equations, finite sums, decompositions of functions, harmonic functions, set-valued quasiconvex functions, the problems of expressibility in some extensions of free groups, Aleksandrov problem and mappings which preserve distances, Ulam's problem, stability of some functional equation for generalized trigonometric functions, Hyers-Ulam stability of Hosszú's equation, superstability of a functional equation, and some demand functions in a duopoly market with advertising.
Audience: This book will be of interest to mathematicians and graduate students whose work involves real functions, functions of a complex variable, functional analysis, integral transforms, and operational calculus.

Product Details

ISBN-13:
9789401058698
Publisher:
Springer Netherlands
Publication date:
12/31/2013
Series:
Mathematics and Its Applications (closed) Series, #518
Edition description:
Softcover reprint of the original 1st ed. 2000
Pages:
336
Product dimensions:
6.30(w) x 9.45(h) x 0.73(d)

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