Inequalities and bounds for the p-generalized trigonometric functions

被引:0
|
作者
Yin, Li [1 ]
Huang, Liguo [1 ]
Lin, Xiuli [2 ]
机构
[1] Binzhou Univ, Coll Sci, Binzhou 256603, Shandong, Peoples R China
[2] Qufu Normal Univ, Coll Math Sci, Qufu 273165, Shandong, Peoples R China
来源
AIMS MATHEMATICS | 2021年 / 6卷 / 10期
关键词
p-generalized trigonometric functions; Tura ' n type inequalities; inequality; NUMERICAL IMPROVEMENT; CONVEXITY;
D O I
10.3934/math.2021644
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
In this paper, we mainly show some bounds and inequalities for the p-generalized trigonometric functions defined by Richter.
引用
收藏
页码:11097 / 11108
页数:12
相关论文
共 50 条
  • [1] On the Inequalities for the Generalized Trigonometric Functions
    Neuman, Edward
    [J]. INTERNATIONAL JOURNAL OF ANALYSIS, 2014,
  • [2] INEQUALITIES ON GENERALIZED TRIGONOMETRIC FUNCTIONS
    Sun, Baoju
    [J]. Proceedings of the 2016 3rd International Conference on Mechatronics and Information Technology (ICMIT), 2016, 49 : 10 - 13
  • [3] Inequalities for the generalized trigonometric and hyperbolic functions
    Klen, Riku
    Vuorinen, Matti
    Zhang, Xiaohui
    [J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2014, 409 (01) : 521 - 529
  • [4] Inequalities on generalized trigonometric and hyperbolic functions
    Yang, Chen-Yan
    [J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2014, 419 (02) : 775 - 782
  • [5] Inequalities for the generalized trigonometric and hyperbolic functions
    Ma, Xiaoyan
    Si, Xiangbin
    Zhong, Genhong
    He, Jianhui
    [J]. OPEN MATHEMATICS, 2020, 18 : 1580 - 1589
  • [6] INEQUALITIES INVOLVING GENERALIZED TRIGONOMETRIC AND HYPERBOLIC FUNCTIONS
    Neuman, Edward
    [J]. JOURNAL OF MATHEMATICAL INEQUALITIES, 2014, 8 (04): : 725 - 736
  • [7] Some inequalities for the generalized trigonometric and hyperbolic functions
    Sun, Bao-ju
    [J]. PROCEEDINGS OF THE 2016 INTERNATIONAL CONFERENCE ON COMPUTER SCIENCE AND ELECTRONIC TECHNOLOGY, 2016, 48 : 251 - 254
  • [8] INEQUALITIES CONNECTING GENERALIZED TRIGONOMETRIC FUNCTIONS WITH THEIR INVERSES
    Bhayo, B. A.
    Sandor, J.
    [J]. PROBLEMY ANALIZA-ISSUES OF ANALYSIS, 2013, 2 (02): : 82 - 90
  • [9] REDHEFFER-TYPE INEQUALITIES FOR GENERALIZED TRIGONOMETRIC FUNCTIONS
    Ozawa, Shimpei
    Takeuchi, Shingo
    [J]. JOURNAL OF INEQUALITIES AND SPECIAL FUNCTIONS, 2021, 12 (02): : 16 - 22
  • [10] Functional inequalities for generalized inverse trigonometric and hyperbolic functions
    Baricz, Arpad
    Bhayo, Barkat Ali
    Pogany, Tibor K.
    [J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2014, 417 (01) : 244 - 259