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 1 4区数学 Q1 MATHEMATICS

Applicable Analysis and Discrete Mathematics 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。

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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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

Applicable Analysis and Discrete Mathematics MATHEMATICS, APPLIED-MATHEMATICS

CiteScore

2.40

自引率

11.10%

发文量

审稿时长

>12 weeks

期刊介绍： Applicable Analysis and Discrete Mathematics is indexed, abstracted and cover-to cover reviewed in: Web of Science, Current Contents/Physical, Chemical & Earth Sciences (CC/PC&ES), Mathematical Reviews/MathSciNet, Zentralblatt für Mathematik, Referativny Zhurnal-VINITI. It is included Citation Index-Expanded (SCIE), ISI Alerting Service and in Digital Mathematical Registry of American Mathematical Society (http://www.ams.org/dmr/).