时间尺度上动态哈代-克诺普类不等式的一些泛化

IF 16.4 1区化学 Q1 CHEMISTRY, MULTIDISCIPLINARY

Accounts of Chemical Research Pub Date : 2024-08-02 DOI:10.1007/s12346-024-01102-z

Ahmed A. El-Deeb

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引用次数: 0

摘要

本文对时间尺度上的两变量哈代型动态不等式进行了一些新的概括。作为主要结果特例给出的积分和离散哈代型不等式是原创的。主要结果是利用时间尺度上的动态詹森不等式和富比尼定理证明的。

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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Some Generalizations of Dynamic Hardy-Knopp-Type Inequalities on Time Scales

In the present paper, some new generalizations of dynamic inequalities of Hardy-type in two variables on time scales are established. The integral and discrete Hardy-type inequalities that are given as special cases of main results are original. The main results are proved by using the dynamic Jensen inequality and the Fubini theorem on time scales.

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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.