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
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.