惠更斯不等式和威尔克不等式之间的关系以及进一步的评论

IF 16.4 1区化学 Q1 CHEMISTRY, MULTIDISCIPLINARY

Accounts of Chemical Research Pub Date : 2023-01-01 DOI:10.2298/aadm210727012c

Chao-Ping Chen, C. Mortici

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引用次数: 0

摘要

本文的第一个目的是展示惠更斯?和Wilker吗?S不等式是相关的。在这个意义上，我们建立并证明了一类依赖于参数n的不等式，其中惠更斯?和Wilker吗?当n = 1和n = 2时，分别得到S个不等式。利用上述思想，我们引入了其他类型的依赖于参数的不等式，扩展了Wilker型不等式和经典Cusa不等式。最后，提出了一些有待解决的问题。

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The relationship between Huygens’ and Wilker’s inequalities and further remarks

The first aim of this paper is to show how the Huygens? and Wilker?s inequalities are related. In this sense, we establish and prove a class of inequalities depending on a parameter n, where Huygens? and Wilker?s inequalities are obtained when n = 1 and n = 2, respectively. By exploiting the above idea, we introduce other classes of inequalities depending on a parameter, extending an inequality of Wilker type and also the classical Cusa inequality. Finally, some open problems are posed.

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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.