Journal of Inequalities and Applications
Volume 2008 (2008), Article ID 816963, 22 pages
doi:10.1155/2008/816963
Research Article

On the Stability of a New Pexider-Type Functional Equation

Kil-Woung Jun,1,2 Yang-Hi Lee,3 and Juri Lee2

1National Institute for Mathematical Sciences, Daejeon 305-340, South Korea
2Department of Mathematics, Chungnam National University, Daejeon 305-764, South Korea
3Department of Mathematics Education, Gongju National University of Education, Gongju 314-711, South Korea

Received 1 October 2007; Accepted 31 January 2008

Academic Editor: Patricia Wong

Copyright © 2008 Kil-Woung Jun et al. 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 establish the generalized Hyers-Ulam stability of a Pexider-type functonal equation f1(x+y+z)+f2(x−y)+f3(x−z)−f4(x−y−z)−f5(x+y)−f6(x+z)=0, which is mixed of a quadratic and an additive functional equations. Also, we obtain its general solution from the stability results.