The new investigation of the stability of mixed type additive-quartic functional equations in non-Archimedean spaces

Demonstratio mathematica

article

Anurak Thanyacharoen¹  Wutiphol Sintunavarat¹ 

[1] Department of Mathematics and Statistics, Faculty of Science and Technology, Thammasat University

关键词: non-Archimedean normed spaces;    linear functionals;    functional equations;   

DOI  :  10.1515/dema-2020-0009

学科分类：外科医学

来源: De Gruyter

【 摘 要 】

In this article, we prove the generalized Hyers-Ulam stability for the following additive-quartic functional equation:f(x+3y)+f(x−3y)+f(x+2y)+f(x−2y)+22f(x)+24f(y)=13[f(x+y)+f(x−y)]+12f(2y),f(x+3y)+f(x-3y)+f(x+2y)+f(x-2y)+22f(x)+24f(y)=13{[}f(x+y)+f(x-y)]+12f(2y),where f maps from an additive group to a complete non-Archimedean normed space.

【 授权许可】

CC BY