Approximate mixed type quadratic-cubic functional equation

Abstract

In this paper, we investigate the generalized Hyers-Ulam stability of the following mixed type quadratic-cubic functional equation \begin{align*} 2f(2x+y)+2f(2x-y) = 4f(x+y)+4f(x-y)+4f(2x)+f(2y)-8f(x)-8f(y) \end{align*} in non-Archimedean $(n,\beta)$-normed spaces.

Keywords

• generalized hyers-ulam stability
• mixed type quadratic-cubic functional equation
• (n，β)-normed spaces
• non-archimedean (n，β)-normed spaces