Document Type : Research Paper

Author

• S. Zolfaghari

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
$$f(x+ky)+f(x-ky)=k^{2}f(x+y)+k^{2}f(x-y)+(k^2-1)[k^{2}f(y)+k^{2}f(-y)-2f(x)]$$
 ($k\in \mathbb{Z}-0,\pm 1$) in $p-$Banach spaces.

Keywords

• stability
• QCA-functional equation
• $p-$Banach space