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

Recommended by Patricia Wong

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.