A SOLUTION TO AN OPEN PROBLEM FOR WILKER-TYPE INEQUALITIES

被引:5
|
作者
Chen-Shiping [1 ]
Ge-Xinyu [2 ]
机构
[1] Sichuan Trade Sch, Yaan 625107, Peoples R China
[2] Univ Chinese Acad Sci, Chengdu Inst Comp Applicat, Chengdu 610041, Peoples R China
来源
JOURNAL OF MATHEMATICAL INEQUALITIES | 2021年 / 15卷 / 01期
关键词
Wilker-type inequality; trigonometric function; open problem;
D O I
10.7153/jmi-2021-15-06
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
This paper is to solve the open problem for Wilker-Type inequality: what are the best possible for the constants c(1) and c(2) such that the double inequality c(1)x(3a) tanx < (sinx/x)(2a) + (tanx/x)(a) -2 < c(2)x(3a) tanx holds?
引用
收藏
页码:59 / 65
页数:7
相关论文
共 50 条
  • [41] 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)
  • [42] SOME GENERAL WILKER-HUYGENS INEQUALITIES
    Zhao, Tie-Hong
    Chu, Yu-Ming
    APPLICABLE ANALYSIS AND DISCRETE MATHEMATICS, 2022, 16 (02) : 400 - 426
  • [43] OPEN PROBLEM RELATED TO INTEGRAL INEQUALITIES
    Kashuri, Artion
    Liko, Rozana
    Fundo, Akli
    Ramosaco, Miftar
    JOURNAL OF INEQUALITIES AND SPECIAL FUNCTIONS, 2016, 7 (03): : 114 - 120
  • [44] THE NATURAL APPROACH OF WILKER-CUSA-HUYGENS INEQUALITIES
    Mortici, Cristinel
    MATHEMATICAL INEQUALITIES & APPLICATIONS, 2011, 14 (03): : 535 - 541
  • [45] Sharp Wilker- and Huygens-type inequalities for inverse trigonometric and inverse hyperbolic functions
    Chen, Chao-Ping
    INTEGRAL TRANSFORMS AND SPECIAL FUNCTIONS, 2012, 23 (12) : 865 - 873
  • [46] Proofs of Wilker's inequalities involving trigonometric functions
    Guo, BN
    Li, W
    Qi, F
    INEQUALITY THEORY AND APPLICATIONS, VOL 2, 2003, : 109 - 112
  • [47] A solution of an open problem concerning Lagrangian mean-type mappings
    Glazowska, Dorota
    CENTRAL EUROPEAN JOURNAL OF MATHEMATICS, 2011, 9 (05): : 1067 - 1073
  • [48] On new proofs of Wilker's inequalities involving trigonometric functions
    Guo, BN
    Qiao, BM
    Qi, F
    Li, W
    MATHEMATICAL INEQUALITIES & APPLICATIONS, 2003, 6 (01): : 19 - 22
  • [49] THE RELATIONSHIP BETWEEN HUYGENS' AND WILKER'S INEQUALITIES AND FURTHER REMARKS
    Chen, Chao-Ping
    Mortici, Cristinel
    APPLICABLE ANALYSIS AND DISCRETE MATHEMATICS, 2023, 17 (01) : 92 - 100
  • [50] FOURIER SERIFS METHOD RELATED TO WILKER - CUSA - HUYGENS INEQUALITIES
    Bercu, Gabriel
    MATHEMATICAL INEQUALITIES & APPLICATIONS, 2019, 22 (04): : 1091 - 1098