[KSCI] Korea Science Citation Index Service

http://dx.doi.org/10.4134/CKMS.2004.19.4.701

STABILITY OF A BETA-TYPE FUNCTIONAL EQUATION WITH A RESTRICTED DOMAIN

Lee, Young-Whan (Department of Computer and Information Security Daejeon University)
Choi, Byung-Mun (Department of Computer and Information Security Daejeon University)

Publication Information

Communications of the Korean Mathematical Society / v.19, no.4, 2004 , pp. 701-713 More about this Journal

Abstract

We obtain the Hyers-Ulam-Rassias stability of a betatype functional equation $f(\varphi(x),\phi(y))$ = $\psi(x,y)f(x,y)+ \lambda(x,y)$ with a restricted domain and the stability in the sense of R. Ger of the equation $f(\varphi(x),\phi(y))$ = $\psi(x,y)f(x,y)$ with a restricted domain in the following settings: $g(\varphi(x),\phi(y))-\psi(x,y)g(s,y)-\lambda(x,y) $\mid$ \leq\varepsilon(x,y)$ and $\frac{g(\varphi(x),\phi(y))}{\psi(x,y),g(x,y)}-1 $\mid$ \leq\epsilon(x,y)$.

Keywords

functional equation; stability of functional equation; Hyers-Ulam-Rassias stability;

Citations & Related Records

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