Enhanced Young-type inequalities utilizing Kantorovich approach for semidefinite matrices

IF 1 4区数学 Q1 MATHEMATICS

Open Mathematics Pub Date : 2024-03-14 DOI:10.1515/math-2023-0185

Feras Bani-Ahmad, Mohammad Hussein Mohammad Rashid

引用次数: 0

Abstract

This article introduces new Young-type inequalities, leveraging the Kantorovich constant, by refining the original inequality. In addition, we present a range of norm-based inequalities applicable to positive semidefinite matrices, such as the Hilbert-Schmidt norm and the trace norm. The importance of these results lies in their dual significance: they hold inherent value on their own, and they also extend and build upon numerous established results within the existing literature.

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利用半有限矩阵的康托洛维奇方法增强杨式不等式

本文通过完善原始不等式，利用康托洛维奇常数引入了新的杨式不等式。此外，我们还提出了一系列适用于正半有限矩阵的基于规范的不等式，如希尔伯特-施密特规范和迹规范。这些结果的重要性在于它们的双重意义：它们本身具有内在价值，同时还扩展并建立在现有文献中的众多既定结果之上。

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

Open Mathematics MATHEMATICS-

CiteScore

2.40

自引率

5.90%

发文量

审稿时长

16 weeks

期刊介绍： Open Mathematics - formerly Central European Journal of Mathematics Open Mathematics is a fully peer-reviewed, open access, electronic journal that publishes significant, original and relevant works in all areas of mathematics. The journal provides the readers with free, instant, and permanent access to all content worldwide; and the authors with extensive promotion of published articles, long-time preservation, language-correction services, no space constraints and immediate publication. Open Mathematics is listed in Thomson Reuters - Current Contents/Physical, Chemical and Earth Sciences. Our standard policy requires each paper to be reviewed by at least two Referees and the peer-review process is single-blind. Aims and Scope The journal aims at presenting high-impact and relevant research on topics across the full span of mathematics. Coverage includes: