Sharp Wilker- and Huygens-type inequalities for inverse trigonometric and inverse hyperbolic functions

被引：26
|
作者：
Chen, Chao-Ping [1 ]
机构：
[1] Henan Polytech Univ, Sch Math & Informat, Jiaozuo City 454003, Henan Province, Peoples R China
来源：
INTEGRAL TRANSFORMS AND SPECIAL FUNCTIONS | 2012年 / 23卷 / 12期
关键词：
inequalities; trigonometric functions; hyperbolic functions; inverse trigonometric functions; inverse hyperbolic functions; CUSA-HUYGENS; REFINEMENT;
D O I：
10.1080/10652469.2011.644851
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We establish sharp Wilker and Huygens-type inequalities for inverse trigonometric and inverse hyperbolic functions.
引用
收藏
页码：865 / 873
页数：9
相关论文
共 50 条
  • [1] New bounds of Wilker- and Huygens-type inequalities for inverse trigonometric functions
    Chen, Xiao-Diao
    Wang, Hui
    Yang, Kang
    Xie, Jin
    REVISTA DE LA REAL ACADEMIA DE CIENCIAS EXACTAS FISICAS Y NATURALES SERIE A-MATEMATICAS, 2021, 115 (01)
  • [2] New bounds of Wilker- and Huygens-type inequalities for inverse trigonometric functions
    Xiao-Diao Chen
    Hui Wang
    Kang Yang
    Jin Xie
    Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas, 2021, 115
  • [3] SHARP WILKER AND HUYGENS TYPE INEQUALITIES FOR TRIGONOMETRIC AND INVERSE TRIGONOMETRIC FUNCTIONS
    Zhang, Bo
    Chen, Chao-Ping
    JOURNAL OF MATHEMATICAL INEQUALITIES, 2020, 14 (03): : 673 - 684
  • [4] Sharp Wilker and Huygens type inequalities for trigonometric and hyperbolic functions
    Hua, Yun
    HACETTEPE JOURNAL OF MATHEMATICS AND STATISTICS, 2016, 45 (03): : 731 - 741
  • [5] Wilker- and Huygens-type inequalities for Jacobian elliptic and theta functions
    Neuman, Edward
    INTEGRAL TRANSFORMS AND SPECIAL FUNCTIONS, 2014, 25 (03) : 240 - 248
  • [6] Sharp Wilker and Huygens type inequalities for the Gudermannian and inverse Gudermannian functions
    Xu, Shun-Wei
    Chen, Chao-Ping
    JOURNAL OF INEQUALITIES AND APPLICATIONS, 2024, 2024 (01):
  • [7] Wilker- and Huygens-type inequalities and solution to Oppenheim's problem
    Chen, Chao-Ping
    Cheung, Wing-Sum
    INTEGRAL TRANSFORMS AND SPECIAL FUNCTIONS, 2012, 23 (05) : 325 - 336
  • [8] THE WILKER AND HUYGENS-TYPE INEQUALITIES
    Chen, Chao-Ping
    Paris, Richard B.
    JOURNAL OF MATHEMATICAL INEQUALITIES, 2020, 14 (03): : 685 - 705
  • [9] Wilker and Huygens type inequalities for mixed trigonometric-hyperbolic functions
    Bagul, Yogesh J.
    Bhayo, Barkat A.
    Dhaigude, Ramkrishna M.
    Raut, Vinay M.
    TBILISI MATHEMATICAL JOURNAL, 2021, 14 (02) : 207 - 220
  • [10] 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
12345