Stability of generalized QCA-functional equation in P-Banach spaces

Author

Department of Mathematics, Urmia University, Urmia, Iran.

Abstract

In  this paper, we investigate the generalized
Hyers-Ulam-Rassias stability for the quartic, cubic and additive
functional equation
$$f(x+ky)+f(x-ky)=k^2f(x+y)+k^2f(x-y)+(k^2-1)[k^2f(y)+k^2f(-y)-2f(x)]$$
 ($k in mathbb{Z}-{0,pm1}$) in $p-$Banach spaces.

Keywords