Wilker and Huygens type inequalities for mixed trigonometric-hyperbolic functions

被引：1

作者：

Bagul, Yogesh J. ^{[1
]}

Bhayo, Barkat A. ^{[2
]}

Dhaigude, Ramkrishna M. ^{[3
]}

Raut, Vinay M. ^{[4
]}

机构：

[1] KKM Coll, Dept Math, Manwath 431505, MS, India

[2] Sukkur IBA Univ, Dept Math, Sindh, Pakistan

[3] Govt Vidarbha Inst Sci & Humanities, Dept Math, Amravati 444604, MS, India

[4] Shri Shivaji Sci Coll, Dept Math, Amravati 444603, MS, India

来源：

TBILISI MATHEMATICAL JOURNAL | 2021年 / 14卷 / 02期

关键词：

Wilker-type inequality; Huygens-type inequality; trigonometric-hyperbolic functions;

D O I：

10.32513/tmj/19322008134

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper we establish a new Wilker type and Huygens type inequalities involving the trigonometric and hyperbolic functions. Moreover, in terms of hyperbolic functions, the upper and lower bounds of sin(x)/x and tan(x)/x are given.

引用

页码：207 / 220

页数：14

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