Notes on the best estimates in the Ulam stability of the Cauchy functional equation

IF 0.7 3区数学 Q2 MATHEMATICS

Aequationes Mathematicae Pub Date : 2026-04-29 DOI:10.1007/s00010-026-01292-8

Janusz Brzdęk

引用次数: 0

Abstract

This is an expository paper providing some simple observations on the best estimates in the Ulam stability of the Cauchy functional equation \(A(x+y)=A(x)+A(y)\). They have been motivated by a problem raised by Th.M. Rassias in connection with some early stability results obtained for the equation.

查看原文本刊更多论文

关于柯西泛函方程Ulam稳定性的最佳估计的注释

这是一篇说明性的论文，提供了一些关于柯西泛函方程\(A(x+y)=A(x)+A(y)\)的Ulam稳定性的最佳估计的简单观察。他们的动机是由thm Rassias提出的一个问题，这个问题与方程的一些早期稳定性结果有关。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

求助全文

约1分钟内获得全文求助全文

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.