一个新的具有一个高阶导数函数的部分和的逆半离散hilbert型不等式

IF 16.4 1区化学 Q1 CHEMISTRY, MULTIDISCIPLINARY

Accounts of Chemical Research Pub Date : 2023-11-21 DOI:10.1515/math-2023-0139

Jianquan Liao, Bicheng Yang

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引用次数: 0

摘要

本文利用权函数、中值定理和实数分析的方法，得到了一个含有一个高阶导数函数的一偏和的逆半离散hilbert型不等式。考虑了与几个参数有关的最佳可能常数因子的几个等价表述。作为应用，给出了等价形式和一些特殊的不等式。

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 new reverse half-discrete Hilbert-type inequality with one partial sum involving one derivative function of higher order

In this article, a new reverse half-discrete Hilbert-type inequality with one partial sum involving one derivative function of higher order is obtained, by using the weight functions, the mid-value theorem, and the techniques of real analysis. A few equivalent statements of the best possible constant factor related to several parameters are considered. As applications, the equivalent forms and some particular inequalities are provided.

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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.