INEQUALITY CHAINS FOR WILKER, HUYGENS AND LAZAREVIC TYPE INEQUALITIES

被引:16
|
作者
Chen, Chao-Ping [1 ]
Sandor, Jozsef [2 ]
机构
[1] Henan Polytech Univ, Sch Math & Informat, Jiaozuo City 454003, Henan Province, Peoples R China
[2] Univ Babes Bolyai, Dept Math, Cluj Napoca 400084, Romania
来源
关键词
Inequalities; trigonometric functions; hyperbolic functions; CUSA-HUYGENS; REFINEMENT;
D O I
10.7153/jmi-08-02
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
We offer various refinements of inequalities related to the Wilker, Huygens, or Lazarevic type inequalities for trigonometric and hyperbolic functions.
引用
收藏
页码:55 / 67
页数:13
相关论文
共 50 条
  • [1] ON WILKER AND HUYGENS TYPE INEQUALITIES
    Neuman, Edward
    MATHEMATICAL INEQUALITIES & APPLICATIONS, 2012, 15 (02): : 271 - 279
  • [2] Sharpness of Wilker and Huygens type inequalities
    Chen, Chao-Ping
    Cheung, Wing-Sum
    JOURNAL OF INEQUALITIES AND APPLICATIONS, 2012,
  • [3] Sharpness of Wilker and Huygens type inequalities
    Chao-Ping Chen
    Wing-Sum Cheung
    Journal of Inequalities and Applications, 2012
  • [4] THE WILKER AND HUYGENS-TYPE INEQUALITIES
    Chen, Chao-Ping
    Paris, Richard B.
    JOURNAL OF MATHEMATICAL INEQUALITIES, 2020, 14 (03): : 685 - 705
  • [5] WILKER AND HUYGENS TYPE INEQUALITIES FOR THE LEMNISCATE FUNCTIONS
    Chen, Chao-Ping
    JOURNAL OF MATHEMATICAL INEQUALITIES, 2012, 6 (04): : 673 - 684
  • [6] WILKER AND HUYGENS TYPE INEQUALITIES FOR THE LEMNISCATE FUNCTIONS, II
    Chen, Chao-Ping
    MATHEMATICAL INEQUALITIES & APPLICATIONS, 2013, 16 (02): : 577 - 586
  • [7] New Wilker-type and Huygens-type inequalities
    Zhu, Ling
    Malesevic, Branko
    HACETTEPE JOURNAL OF MATHEMATICS AND STATISTICS, 2021, 50 (01): : 46 - 62
  • [8] Refinements of Huygens- and Wilker-type inequalities
    Zhu, Ling
    Sun, Zhengjie
    AIMS MATHEMATICS, 2020, 5 (04): : 2967 - 2978
  • [9] Sharp Wilker and Huygens type inequalities for trigonometric and hyperbolic functions
    Hua, Yun
    HACETTEPE JOURNAL OF MATHEMATICS AND STATISTICS, 2016, 45 (03): : 731 - 741
  • [10] On A General Huygens-Wilker Inequality
    Mhanna, Antoine
    APPLIED MATHEMATICS E-NOTES, 2020, 20 : 79 - 81