一些一般的Wilker-Huygens不等式

IF 1 4区数学 Q1 MATHEMATICS

Applicable Analysis and Discrete Mathematics Pub Date : 2022-01-01 DOI:10.2298/aadm210518032z

Tie-hong Zhao, Yu‐ming Chu

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引用次数: 1

摘要

本文系统地研究了三角函数和双曲函数、外隐函数和双曲外隐函数及其反函数的一般Wilker-Huygens型不等式。我们的结果是最近发表在[A]上的结果的一些扩展和改进。关于一般惠更斯-威尔克不等式，苹果公司。数学。e - notes, 20 (2020)， 79-81;MR4076436]，并改进了许多涉及Wilker-Huygens型不等式的先前结果。

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Some general Wilker-Huygens inequalities

In this paper, we provide a systematic way to study on some general Wilker-Huygens type inequalities for the trigonometric and hyperbolic functions, lemniscate and hyperbolic lemniscate functions, and their corresponding inverse functions. Our results are some extensions and refinements of the recently published results in [A. Mhanna, On a general Huygens-Wilker inequality, Appl. Math. E.-Notes, 20 (2020), 79-81; MR4076436], and improve many previous results involving Wilker-Huygens type inequalities.

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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/).