On an alternative additive-quadratic functional equation

IF 0.9 3区数学 Q2 MATHEMATICS

Aequationes Mathematicae Pub Date : 2024-05-13 DOI:10.1007/s00010-024-01074-0

Gian Luigi Forti, Bettina Wilkens

引用次数: 0

Abstract

We consider a map f from one abelian group into another that satisfies either an additive or quadratic functional equation on any given pair of elements of its domain. Particular emphasis is placed on the possibility that f itself is neither additive nor quadratic and a complete description of all those cases is obtained.

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关于另一种加二次函数方程

我们考虑从一个无方群到另一个无方群的映射 f，该映射在其域的任意给定元素对上满足加法或二次函数方程。我们特别强调了 f 本身既非可加性也非二次性的可能性，并对所有这些情况进行了完整的描述。

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

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.