Search Advanced

AIMS Mathematics

2020, Volume 5, Issue 1: 376-384. doi: 10.3934/math.2020025
Previous Article Next Article
Research article

New inequalities of Wilker's type for hyperbolic functions

  • Department of Mathematics, Zhejiang Gongshang University, Hangzhou, Zhejiang, China
  • Received: 24 October 2019 Accepted: 19 November 2019 Published: 22 November 2019

  • MSC : 26D05, 26D15

  • Using power series expansions of functions and the monotonicity criterion for the quotient of power series, we establish some new Wilker-type inequalities for hyperbolic functions.

    Citation: Ling Zhu. New inequalities of Wilker's type for hyperbolic functions[J]. AIMS Mathematics, 2020, 5(1): 376-384. doi: 10.3934/math.2020025

    Related Papers:

  • Using power series expansions of functions and the monotonicity criterion for the quotient of power series, we establish some new Wilker-type inequalities for hyperbolic functions.


    加载中


    [1] J. B. Wilker, Problem E 3306, Amer. Math. Monthly, 96 (1989), 55.
    [2] J. S. Sumner, A. A. Jagers, M. Vowe, et al. Inequalities involving trigonometric functions, Amer. Math. Monthly, 98 (1991), 264-267.
    [3] I. Pinelis, L'Hospital rules for monotonicity and the Wilker-Anglesio inequality, Amer. Math. Monthly, 111 (2004), 905-909.
    [4] L. Zhu, On Wilker-type inequalities, Math. Inequal. Appl., 10 (2007), 727-731.
    [5] Z. J. Sun and L. Zhu, On New Wilker-type inequalities, ISRN Mathematical Analysis, 2011 (2011), 1-7.
    [6] Zh. H. Yang, Y. M. Chu and M. K. Wang, Monotonicity criterion for the quotient of power series with applications, J. Math. Anal. Appl., 428 (2015), 587-604.
  • Reader Comments
  • © 2020 the Author(s), licensee AIMS Press. This is an open access article distributed under the terms of the Creative Commons Attribution License (http://creativecommons.org/licenses/by/4.0)
通讯作者: 陈斌, bchen63@163.com
  • 1. 

    沈阳化工大学材料科学与工程学院 沈阳 110142

  1. 本站搜索
  2. 百度学术搜索
  3. 万方数据库搜索
  4. CNKI搜索
AIMS Mathematics
1.8 3.4

Metrics

Article views(3563) PDF downloads(390) Cited by(7)

Preview PDF
Download XML
Export Citation
Article outline

Other Articles By Authors

Related pages

Tools

/

DownLoad:  Full-Size Img  PowerPoint
Return
Return

Catalog