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

IF 1 4区数学 Q1 MATHEMATICS

Open Mathematics Pub Date : 2023-11-21 DOI:10.1515/math-2023-0139

Jianquan Liao, Bicheng Yang

引用次数: 0

Abstract

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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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

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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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: