利用半有限矩阵的康托洛维奇方法增强杨式不等式

IF 16.4 1区化学 Q1 CHEMISTRY, MULTIDISCIPLINARY

Accounts of Chemical Research Pub Date : 2024-03-14 DOI:10.1515/math-2023-0185

Feras Bani-Ahmad, Mohammad Hussein Mohammad Rashid

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引用次数: 0

摘要

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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Enhanced Young-type inequalities utilizing Kantorovich approach for semidefinite matrices

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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来源期刊

Accounts of Chemical Research 化学-化学综合

CiteScore

31.40

自引率

1.10%

发文量

312

审稿时长

2 months

期刊介绍： Accounts of Chemical Research presents short, concise and critical articles offering easy-to-read overviews of basic research and applications in all areas of chemistry and biochemistry. These short reviews focus on research from the author’s own laboratory and are designed to teach the reader about a research project. In addition, Accounts of Chemical Research publishes commentaries that give an informed opinion on a current research problem. Special Issues online are devoted to a single topic of unusual activity and significance. Accounts of Chemical Research replaces the traditional article abstract with an article "Conspectus." These entries synopsize the research affording the reader a closer look at the content and significance of an article. Through this provision of a more detailed description of the article contents, the Conspectus enhances the article's discoverability by search engines and the exposure for the research.