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
收藏
页码：207 / 220
页数：14
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