Generalized Hyers-Ulam stability of a quadratic functional equation in (β,p)-Banach spaces
Abstract
The main goal of this paper is the investigation of the general solution and the generalized Hyers-Ulam stability of the following quadratic functional equation
f(ax+y)+a/2[f(x−y)+ f(y−x)] = a(a+1)f(x)+(a+1)f(y)
in (β,p)-Banach spaces, where a is a nonzero fixed integer such that a≠0,−1,−2.Copyright © 2014 Mohamed Sirouni, Samir Kabbaj. 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.
Cite this article
M. Sirouni, S. Kabbaj, Generalized Hyers-Ulam stability of a quadratic functional equation in (β,p)-Banach spaces, J. Math. Comput. Sci. 4 (2014), 622–638.
BibTeX
@article{Sirouni2014,
author = {Sirouni, Mohamed and Kabbaj, Samir},
title = {Generalized Hyers-Ulam stability of a quadratic functional equation in (β,p)-Banach spaces},
journal = {J. Math. Comput. Sci.},
volume = {4},
year = {2014},
pages = {622--638},
doi = {}
}