詹森型方程的一般超稳定性标准

IF 0.9 3区数学 Q2 MATHEMATICS

Aequationes Mathematicae Pub Date : 2024-04-26 DOI:10.1007/s00010-024-01066-0

Dan M. Dăianu

引用次数: 0

摘要

我们提供了两大类控制函数，它们确保了受限域上詹森型方程的超稳定性。除其他结果外，我们还改进了文献中已知的某些青木-拉西亚控制函数的类似结果，以及某些方程的超稳定性结果，这些方程的解是詹森函数与激元型函数或三角函数的复合。

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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General hyperstability criteria for Jensen-type equations

We provide two large classes of control functions that ensure the hyperstability of Jensen-type equations on restricted domains. Among other consequences, we obtain improvements on similar results known in the literature for some Aoki–Rassias-type control functions and hyperstability results for some equations whose solutions are Jensen functions compounded with radical-type functions or with trigonometric functions.

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来源期刊

Aequationes Mathematicae MATHEMATICS, APPLIED-MATHEMATICS

CiteScore

1.70

自引率

12.50%

发文量

审稿时长

>12 weeks

期刊介绍： aequationes mathematicae is an international journal of pure and applied mathematics, which emphasizes functional equations, dynamical systems, iteration theory, combinatorics, and geometry. The journal publishes research papers, reports of meetings, and bibliographies. High quality survey articles are an especially welcome feature. In addition, summaries of recent developments and research in the field are published rapidly.