random normed space; additive-quadratic-cubic-quartic functional equation; Hyers-Ulam stability
Issue Date
2011-08
Publisher
SPRINGER INTERNATIONAL PUBLISHING AG, GEWERBESTRASSE 11, CHAM, CH-6330, SWITZERLAND
Citation
Journal of Inequalities and Applications, Vol.2011 No.1 [2011], 1-12
Abstract
In this paper, we prove the Hyers-Ulam stability of the following additive-quadratic-cubic-quartic functional equation f(x+2y)+f(x-2y)=4f(x+y)+4f(x-y)-6f(x)+f(2y)+f(-2y)-4f(y)-4f(-y) in random normed spaces.