A Pexider system of additive functional equations in Banach algebras

IF 1.5 3区数学 Q1 MATHEMATICS Journal of Inequalities and Applications Pub Date : 2024-02-23 DOI:10.1186/s13660-024-03104-6

Mehdi Dehghanian, Yamin Sayyari, Siriluk Donganont, Choonkil Park

引用次数: 0

Abstract

In this paper, we solve the system of functional equations $$\begin{aligned} \textstyle\begin{cases} f(x+y)+g(y-x)=2f(x), \\ g(x+y)-f(y-x)=2g(y) \end{cases}\displaystyle \end{aligned}$$ and we investigate the stability of g-derivations in Banach algebras.

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巴拿赫代数中的加法函数方程的 Pexider 系统

在本文中，我们求解了函数方程组 $$\begin{aligned}\f(x+y)+g(y-x)=2f(x), g(x+y)-f(y-x)=2g(y) \end{cases}\displaystyle \end{aligned}$$，并研究了巴拿赫代数中 g 衍生的稳定性。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Journal of Inequalities and Applications 数学-数学

自引率

6.20%

发文量

136

期刊介绍： The aim of this journal is to provide a multi-disciplinary forum of discussion in mathematics and its applications in which the essentiality of inequalities is highlighted. This Journal accepts high quality articles containing original research results and survey articles of exceptional merit. Subject matters should be strongly related to inequalities, such as, but not restricted to, the following: inequalities in analysis, inequalities in approximation theory, inequalities in combinatorics, inequalities in economics, inequalities in geometry, inequalities in mechanics, inequalities in optimization, inequalities in stochastic analysis and applications.