Some general Wilker-Huygens inequalities

IF 16.4 1区化学 Q1 CHEMISTRY, MULTIDISCIPLINARY

Accounts of Chemical Research Pub Date : 2022-01-01 DOI:10.2298/aadm210518032z

Tie-hong Zhao, Yu‐ming Chu

引用次数: 1

Abstract

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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一些一般的Wilker-Huygens不等式

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。

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

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

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