2 规范空间中考希和詹森函数方程的超稳定性

IF 1.5 3区数学 Q1 MATHEMATICS Journal of Inequalities and Applications Pub Date : 2024-04-03 DOI:10.1186/s13660-024-03116-2

Abbas Najati, Yavar Khedmati Yengejeh, Kandhasamy Tamilvanan, Masho Jima Kabeto

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引用次数: 0

摘要

本文无需应用定点定理，通过简单而简短的证明，介绍了在 2 规范空间中与考奇和詹森函数方程相对应的一些超稳定性结果。我们还得到了一般线性函数方程 $f(ax+by)=Af(x)+Bf(y)+C$ 的一些超稳定性结果。

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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Hyperstability of Cauchy and Jensen functional equations in 2-normed spaces

In this article, with simple and short proofs without applying fixed point theorems, some hyperstability results corresponding to the functional equations of Cauchy and Jensen are presented in 2-normed spaces. We also obtain some results on hyperstability for the general linear functional equation $f(ax+by)=Af(x)+Bf(y)+C$ .

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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.