Overview

This volume provides an extensive study of some important topics 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 Hilletype functional equation, the polynomiallike 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, setvalued quasiconvex functions, and the problems of expressibility in some extensions of free groups.

Full Product Details

Author:   Themistocles RASSIAS
Publisher:   Springer
Imprint:   Springer
Edition:   2000 ed.
Volume:   518
Dimensions:   Width: 17.00cm , Height: 2.00cm , Length: 24.40cm
Weight:   1.490kg
ISBN:  

9780792364849

ISBN 10:   0792364848
Pages:   336
Publication Date:   31 July 2000
Audience:   College/higher education ,  Professional and scholarly ,  Undergraduate ,  Postgraduate, Research & Scholarly
Format:   Hardback
Publisher's Status:   Active
Availability:   In Print  
This item will be ordered in for you from one of our suppliers. Upon receipt, we will promptly dispatch it out to you. For in store availability, please contact us.

Table of Contents

On the Stability of a Functional Equation for Generalized Trigonometric Functions.- Some Notes on Two-Scale Difference Equations.- Some Demand Functions in a Duopoly Market with Advertising.- Solutions of a Functional Inequality in a Special Class of Functions.- On Dependence of Lipschitzian Solutions of Nonlinear Functional Inequality on an Arbitrary Function.- The Problem of Expressibility in Some Extensions of Free Groups.- On a Pythagorean Functional Equation Involving Certain Number Fields.- On a Conditional Cauchy Functional Equation Involving Cubes.- Hyers-Ulam Stability of Hosszú’s Equation.- The Functional Equation of the Square Root Spiral.- On the Superstability of the Functional Equation f(xy)=f(x)y.- Replicativity and Function Spaces.- Normal Distributions and the Functional Equation f(x+y) g(x-y) = f(x)f(y)g(x)g(-y).- On the Polynomial-Like Iterative Functional Equation.- Distribution of Zeros and Inequalities for Zeros of Algebraic Polynomials.- A Functional Definition of Trigonometric Functions.- A Qualitative Study of Lobachevksy’s Complex Functional Equation.- Smooth Solutions of an Iterative Functional Equation.- Set-Valued Quasiconvex Functions and their Constant Selections.- Entire Solutions of the Hille-type Functional Equation.- Ulam’s Problem, Hyers’s Solution — and to Where they Led.- A Separation Lemma for the Construction of Finite Sums Decompositions.- Aleksandrov Problem and Mappings which Preserve Distances.- On Some Subclasses of Harmonic Functions.

Reviews

Author Information

Tab Content 6

Author Website:  

Customer Reviews

Recent Reviews

No review item found!

Add your own review!

Countries Available

All regions