Journal of Inequalities and Applications
Volume 2010 (2010), Article ID 486325, 15 pages
doi:10.1155/2010/486325
Research Article

Superstability and Stability of the Pexiderized Multiplicative Functional Equation

Young Whan Lee

Department of Computer and Information Security, Daejeon University, Daejeon 300-716, South Korea

Received 14 August 2009; Accepted 28 December 2009

Academic Editor: Yeol Je Cho

Copyright © 2010 Young Whan Lee. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

We obtain the superstability of the Pexiderized multiplicative functional equation f(xy)=g(x)h(y) and investigate the stability of this equation in the following form: 1/(1+ψ(x,y))≤f(xy)/g(x)h(y)≤1+ψ(x,y).