Advances in Difference Equations
Volume 2009 (2009), Article ID 395693, 20 pages
doi:10.1155/2009/395693
Stability of an additive-cubic-quartic functional equation
M. Eshaghi-Gordji1
, S. Kaboli-Gharetapeh2
, Choonkil Park3
and Somayyeh Zolfaghari1
1Department of Mathematics, Semnan University, P.O. Box 35195-363, Semnan, Iran
2Department of Mathematics, Payame Nour University of Mashhad, Mashhad, Iran
3Department of Mathematics, Research Institute for Natural Sciences, Hanyang University, Seoul 133-791, South Korea
Abstract
In this paper, we consider the additive-cubic-quartic functional equation 11[f(x+2y)+f(x−2y)]=44[f(x+y)+f(x−y)]+12f(3y)−48f(2y)+60f(y)−66f(x) and prove the generalized Hyers-Ulam stability of the additive-cubic-quartic functional equation in Banach spaces.