Abstract and Applied Analysis
Volume 2009 (2009), Article ID 417473, 14 pages
doi:10.1155/2009/417473
Solution and stability of a mixed type cubic and quartic functional equation in quasi-Banach spaces
M.Eshaghi Gordji1
, S. Zolfaghari1
, J.M. Rassias3
and M.B. Savadkouhi1
1Department of Mathematics, Semnan University, P. O. Box 35195-363, Semnan, Iran
3Section of Mathematics and Informatics, Pedagogical Department, National and Capodistrian University of Athens, 4, Agamemnonos Street, Aghia Paraskevi, 15342 Athens, Greece
Abstract
We obtain the general solution and the generalized Ulam-Hyers stability of the mixed type cubic and quartic functional equation f(x+2y)+f(x−2y)=4(f(x+y)+f(x−y))−24f(y)−6f(x)+3f(2y) in quasi-Banach spaces.