Approximate mixed type quadratic-cubic functional equation

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.

Bibliographic Details
Main Author: Zhihua Wang
Format: Article
Language:English
Published: AIMS Press 2021-02-01
Series:AIMS Mathematics
Subjects:
Online Access:http://www.aimspress.com/article/doi/10.3934/math.2021211?viewType=HTML