New inequalities of Wilker's type for circular functions

被引:11
|
作者
Zhu, Ling [1 ]
机构
[1] Zhejiang Gongshang Univ, Dept Math, Hangzhou 310018, Peoples R China
来源
AIMS MATHEMATICS | 2020年 / 5卷 / 05期
关键词
Wilker type inequality; circular function; tangent function; sine function; Bernoulli number;
D O I
10.3934/math.2020311
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
In the article, we establish three new Wilker type inequalities involving tangent and sine functions by use of a double inequality for the ratio of two consecutive non-zero Bernoulli numbers.
引用
收藏
页码:4874 / 4888
页数:15
相关论文
共 50 条
  • [31] Sharp Wilker-type inequalities with applications
    Zhen-Hang Yang
    Yu-Ming Chu
    Journal of Inequalities and Applications, 2014
  • [32] WILKER AND HUYGENS-TYPE INEQUALITIES FOR SOME BIVARIATE MEANS WITH APPLICATIONS TO ELEMENTARY FUNCTIONS
    Neuman, Edward
    JOURNAL OF INEQUALITIES AND SPECIAL FUNCTIONS, 2019, 10 (01): : 161 - 166
  • [33] Six new Redheffer-type inequalities for circular and hyperbolic functions
    Zhu, Ling
    Sun, Jinju
    COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2008, 56 (02) : 522 - 529
  • [34] New approximation inequalities for circular functions
    Zhu, Ling
    Nenezic, Marija
    JOURNAL OF INEQUALITIES AND APPLICATIONS, 2018,
  • [35] New approximation inequalities for circular functions
    Ling Zhu
    Marija Nenezić
    Journal of Inequalities and Applications, 2018
  • [36] 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
  • [37] Sharp Wilker-type inequalities with applications
    Yang, Zhen-Hang
    Chu, Yu-Ming
    JOURNAL OF INEQUALITIES AND APPLICATIONS, 2014,
  • [38] Generalized Wilker-type inequalities with two parameters
    Chu, Hong-Hu
    Yang, Zhen-Hang
    Chu, Yu-Ming
    Zhang, Wen
    JOURNAL OF INEQUALITIES AND APPLICATIONS, 2016,
  • [39] A SOLUTION TO AN OPEN PROBLEM FOR WILKER-TYPE INEQUALITIES
    Chen-Shiping
    Ge-Xinyu
    JOURNAL OF MATHEMATICAL INEQUALITIES, 2021, 15 (01): : 59 - 65
  • [40] Generalized Wilker-type inequalities with two parameters
    Hong-Hu Chu
    Zhen-Hang Yang
    Yu-Ming Chu
    Wen Zhang
    Journal of Inequalities and Applications, 2016