Quadratic functions fulfilling an additional condition along the hyperbola $\pmb {xy = 1} $

IF 0.9 3区数学 Q2 MATHEMATICS Aequationes Mathematicae Pub Date : 2023-11-25 DOI:10.1007/s00010-023-01018-0

Zoltán Boros, Edit Garda-Mátyás

引用次数: 0

Abstract

In this paper we give necessary conditions for quadratic functions $ f :\mathbb {R}\rightarrow \mathbb {R}$ that satisfy the additional equation $ y^2 f(x) = x^2 f(y) $ under the condition $ xy = 1 \,$.

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沿双曲线满足附加条件的二次函数 $$\pmb {xy = 1} $$

本文给出了二次函数$ f :\mathbb {R}\rightarrow \mathbb {R}$在$ xy = 1 \,$条件下满足附加方程$ y^2 f(x) = x^2 f(y) $的必要条件。

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.

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Quadratic functions fulfilling an additional condition along the hyperbola \(\pmb {xy = 1} \)

Abstract