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
  • [21] THE WILKER AND HUYGENS-TYPE INEQUALITIES
    Chen, Chao-Ping
    Paris, Richard B.
    JOURNAL OF MATHEMATICAL INEQUALITIES, 2020, 14 (03): : 685 - 705
  • [22] INEQUALITY CHAINS FOR WILKER, HUYGENS AND LAZAREVIC TYPE INEQUALITIES
    Chen, Chao-Ping
    Sandor, Jozsef
    JOURNAL OF MATHEMATICAL INEQUALITIES, 2014, 8 (01): : 55 - 67
  • [23] Wilker inequalities of exponential type for circular functions
    Zhu, Ling
    REVISTA DE LA REAL ACADEMIA DE CIENCIAS EXACTAS FISICAS Y NATURALES SERIE A-MATEMATICAS, 2021, 115 (01)
  • [24] Wilker inequalities of exponential type for circular functions
    Ling Zhu
    Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas, 2021, 115
  • [25] WILKER AND HUYGENS TYPE INEQUALITIES FOR THE LEMNISCATE FUNCTIONS, II
    Chen, Chao-Ping
    MATHEMATICAL INEQUALITIES & APPLICATIONS, 2013, 16 (02): : 577 - 586
  • [26] New inequalities of Wilker's type for hyperbolic functions
    Zhu, Ling
    AIMS MATHEMATICS, 2020, 5 (01): : 376 - 384
  • [27] New inequalities of Wilker's type for circular functions
    Zhu, Ling
    AIMS MATHEMATICS, 2020, 5 (05): : 4874 - 4888
  • [28] Sharp Wilker and Huygens type inequalities for trigonometric and hyperbolic functions
    Hua, Yun
    HACETTEPE JOURNAL OF MATHEMATICS AND STATISTICS, 2016, 45 (03): : 731 - 741
  • [29] Some Wilker and Cusa type inequalities for generalized trigonometric and hyperbolic functions
    Huang, Li-Guo
    Yin, Li
    Wang, Yong-Li
    Lin, Xiu-Li
    JOURNAL OF INEQUALITIES AND APPLICATIONS, 2018,
  • [30] 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):
12345