Inequalities characterizing differential operators

IF 0.7 3区数学 Q2 MATHEMATICS

Aequationes Mathematicae Pub Date : 2025-04-16 DOI:10.1007/s00010-025-01158-5

Gerd Herzog, Peer Kunstmann

引用次数: 0

Abstract

We show that under certain inequality assumptions an arbitrary linear operator \(D:C^\infty (\mathbb {R}) \rightarrow C(\mathbb {R})\) is a differential operator, for example, if D[f] is nonnegative in local minima of f.

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表征微分算子的不等式

我们证明了在一定不等式假设下，任意线性算子\(D:C^\infty (\mathbb {R}) \rightarrow C(\mathbb {R})\)是一个微分算子，例如，如果D[f]在f的局部极小值上是非负的。

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.