Journal of Inequalities and Applications
Volume 2007 (2007), Article ID 24716, 8 pages
A Multidimensional Functional Equation Having Quadratic Forms as Solutions
1National Institute for Mathematical Sciences, 385-16 Doryong-Dong, Yuseong-Gu, Daejeon 305-340, South Korea
2Department of Applied Mathematics, Kyung Hee University, Yongin 449-701, South Korea
Received 7 July 2007; Accepted 3 September 2007
Academic Editor: Vijay Gupta
Copyright © 2007 Won-Gil Park and Jae-Hyeong Bae. 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.
We obtain the general solution and the stability of the -variable quadratic functional equation The quadratic form is a solution of
the given functional equation.