[KSCI] Korea Science Citation Index Service

http://dx.doi.org/10.4134/CKMS.2008.23.3.357

SUPERSTABILITY OF A GENERALIZED EXPONENTIAL FUNCTIONAL EQUATION OF PEXIDER TYPE

Lee, Young-Whan (DEPARTMENT OF COMPUTER AND INFORMATION SECURITY DAEJEON UNIVERSITY)

Publication Information

Communications of the Korean Mathematical Society / v.23, no.3, 2008 , pp. 357-369 More about this Journal

Abstract

We obtain the superstability of a generalized exponential functional equation f(x+y)=E(x,y)g(x)f(y) and investigate the stability in the sense of R. Ger [4] of this equation in the following setting: $|\frac{f(x+y)}{(E(x,y)g(x)f(y)}-1|{\leq}{\varphi}(x,y)$ where E(x, y) is a pseudo exponential function. From these results, we have superstabilities of exponential functional equation and Cauchy's gamma-beta functional equation.

Keywords

exponential functional equation; stability of functional equations; superstability of functional equations; Cauchy functional equation;

Citations & Related Records

Times Cited By SCOPUS : 0

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