INEQUALITIES INVOLVING CIRCULAR, HYPERBOLIC AND EXPONENTIAL FUNCTIONS

被引：11
|
作者：
Bagul, Yogesh J. [1 ]
机构：
[1] KKM Coll Manwath, Dept Math, Manwath 431505, MS, India
来源：
JOURNAL OF MATHEMATICAL INEQUALITIES | 2017年 / 11卷 / 03期
关键词：
Jordan's inequality; circular; hyperbolic; exponential; lower-upper bound;
D O I：
10.7153/jmi-2017-11-55
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
This paper is aimed at obtaining some new lower and upper bounds for the functions cos x, sinx/x , x/cosh x , thus establishing inequalities involving circulr, hyperbolic and exponential functions.
引用
收藏
页码：695 / 699
页数：5
相关论文
共 50 条
  • [31] ON SOME DIOPHANTINE INEQUALITIES INVOLVING EXPONENTIAL FUNCTION
    BAKER, A
    CANADIAN JOURNAL OF MATHEMATICS, 1965, 17 (04): : 616 - &
  • [32] SHARP INEQUALITY INVOLVING HYPERBOLIC AND INVERSE HYPERBOLIC FUNCTIONS
    Drnovsek, Roman
    JOURNAL OF INEQUALITIES AND SPECIAL FUNCTIONS, 2018, 9 (03): : 13 - 16
  • [33] On Jordan Type Inequalities for Hyperbolic Functions
    R Klén
    M Visuri
    M Vuorinen
    Journal of Inequalities and Applications, 2010
  • [34] ON CERTAIN INEQUALITIES FOR HYPERBOLIC AND TRIGONOMETRIC FUNCTIONS
    Sandor, Jozsef
    JOURNAL OF MATHEMATICAL INEQUALITIES, 2013, 7 (03): : 421 - 425
  • [35] New inequalities for hyperbolic functions and their applications
    Ling Zhu
    Journal of Inequalities and Applications, 2012
  • [36] Inequalities for the generalized trigonometric and hyperbolic functions
    Klen, Riku
    Vuorinen, Matti
    Zhang, Xiaohui
    JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2014, 409 (01) : 521 - 529
  • [37] SHARP INEQUALITIES FOR TRIGONOMETRIC AND HYPERBOLIC FUNCTIONS
    Chen, Chao-Ping
    Sandor, Jozsef
    Journal of Mathematical Inequalities, 2015, 9 (01): : 203 - 217
  • [38] New inequalities for hyperbolic functions and their applications
    Zhu, Ling
    JOURNAL OF INEQUALITIES AND APPLICATIONS, 2012,
  • [39] Inequalities for the generalized trigonometric and hyperbolic functions
    Ma, Xiaoyan
    Si, Xiangbin
    Zhong, Genhong
    He, Jianhui
    OPEN MATHEMATICS, 2020, 18 : 1580 - 1589
  • [40] Inequalities on generalized trigonometric and hyperbolic functions
    Yang, Chen-Yan
    JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2014, 419 (02) : 775 - 782
12345