Stability of a functional equation deriving from cubic and quartic functions
Functional Analysis
2008-12-31 v1
Abstract
In this paper, 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).
Keywords
Cite
@article{arxiv.0812.5020,
title = {Stability of a functional equation deriving from cubic and quartic functions},
author = {M. Eshaghi Gordji and A. Ebadian and S. Zolfaghari},
journal= {arXiv preprint arXiv:0812.5020},
year = {2008}
}