用控制图推广了Fenchel和Young的多数化结果

IF 0.7 3区数学 Q2 MATHEMATICS

Aequationes Mathematicae Pub Date : 2025-06-28 DOI:10.1007/s00010-025-01186-1

Marek Niezgoda

引用次数: 0

摘要

本文将标准两点Fenchel不等式推广为满足Sherman多数化条件的四点不等式。并给出了杨氏不等式的相应推广。讨论了标准Fenchel不等式的精炼问题。

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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A majorization extension of Fenchel’s and Young’s results with a control map

In this paper, the standard two-points Fenchel’s inequality is extended to a four-points version satisfying Sherman’s majorization condition. A corresponding extension of Young’s inequality is also shown. The problem of refining the standard Fenchel inequality is discussed.

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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.