Refinements of Huygens- and Wilker-type inequalities

被引:9
|
作者
Zhu, Ling [1 ]
Sun, Zhengjie [2 ,3 ]
机构
[1] Zhejiang Gongshang Univ, Dept Math, Hangzhou, Zhejiang, Peoples R China
[2] Hong Kong Baptist Univ, Dept Math, Hong Kong, Peoples R China
[3] Fudan Univ, Sch Math Sci, Shanghai Key Lab Contemporary Appl Math, Shanghai, Peoples R China
来源
AIMS MATHEMATICS | 2020年 / 5卷 / 04期
关键词
circular functions; hyperbolic functions; refinements and sharpness of the Huygens- and Wilker- type inequalities; proof of the second conjecture by Chen and Chueng;
D O I
10.3934/math.2020191
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
In this paper we give some refinements and sharpness of the Huygens- and Wilker- type inequalities, and show a proof of the second conjecture by Chen and Chueng in [10].
引用
收藏
页码:2967 / 2978
页数:12
相关论文
共 50 条
  • [1] New Wilker-type and Huygens-type inequalities
    Zhu, Ling
    Malesevic, Branko
    HACETTEPE JOURNAL OF MATHEMATICS AND STATISTICS, 2021, 50 (01): : 46 - 62
  • [3] Wilker and Huygens- type inequalities for the generalized trigonometric and for the generalized hyperbolic functions
    Neuman, Edward
    APPLIED MATHEMATICS AND COMPUTATION, 2014, 230 : 211 - 217
  • [4] On Wilker-type inequalities
    Zhu, Ling
    MATHEMATICAL INEQUALITIES & APPLICATIONS, 2007, 10 (04): : 727 - 731
  • [5] Sharp Wilker-type inequalities with applications
    Zhen-Hang Yang
    Yu-Ming Chu
    Journal of Inequalities and Applications, 2014
  • [6] Refinements of Wilker-Huygens-Type Inequalities via Trigonometric Series
    Bercu, Gabriel
    SYMMETRY-BASEL, 2021, 13 (08):
  • [7] ON WILKER AND HUYGENS TYPE INEQUALITIES
    Neuman, Edward
    MATHEMATICAL INEQUALITIES & APPLICATIONS, 2012, 15 (02): : 271 - 279
  • [8] Wilker-type inequalities for hyperbolic functions
    Wu, Shanhe
    Debnath, Lokenath
    APPLIED MATHEMATICS LETTERS, 2012, 25 (05) : 837 - 842
  • [9] Sharp Wilker-type inequalities with applications
    Yang, Zhen-Hang
    Chu, Yu-Ming
    JOURNAL OF INEQUALITIES AND APPLICATIONS, 2014,
  • [10] Generalized Wilker-type inequalities with two parameters
    Chu, Hong-Hu
    Yang, Zhen-Hang
    Chu, Yu-Ming
    Zhang, Wen
    JOURNAL OF INEQUALITIES AND APPLICATIONS, 2016,