Abstract and Applied Analysis
Volume 2008 (2008), Article ID 801904, 17 pages
doi:10.1155/2008/801904
Stability of a functional equation deriving from cubic and quartic functions
M.Eshaghi Gordji1
, A. Ebadian2
and S. Zolfaghari1
1Department of Mathematics, Semnan University, P.O. Box 35195-363, Semnan, Iran
2Department of Mathematics, Urmia University, P.O. Box 57153-165, Urmia, Iran
Abstract
We obtain the general solution and the generalized Ulam-Hyers stability of the cubic and quartic functional equation 4(f(3x+y)+f(3x−y))=−12(f(x+y)+f(x−y))+12(f(2x+y)+f(2x−y))−8f(y)−192f(x)+f(2y)+30f(2x).