Solutions of two open problems on inequalities involving trigonometric and hyperbolic functions

被引:0
|
作者
Shinde, Rupali [1 ]
Chesneau, Christophe [2 ]
Darkunde, Nitin [1 ]
机构
[1] SRTM Univ, Sch Math Sci, Nanded, India
[2] Univ Caen, Dept Math, LMNO, F-14032 Caen, France
来源
CUBO-A MATHEMATICAL JOURNAL | 2024年 / 26卷 / 03期
关键词
Trigonometric inequalities; series expansion; open problems;
D O I
10.56754/0719-0646.2603.431
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
In 2019, Bagul et al . posed two open problems dealing with inequalities involving trigonometric and hyperbolic functions and an adjustable parameter. This article is an attempt to solve these open problems. The results are supported by three-dimensional graphics, taking into account the variation of the parameter involved.
引用
收藏
页码:431 / 442
页数:12
相关论文
共 50 条
  • [41] On the Inequalities for the Generalized Trigonometric Functions
    Neuman, Edward
    INTERNATIONAL JOURNAL OF ANALYSIS, 2014,
  • [42] On the maximal inequalities for martingales involving two functions
    Tao, M
    Liu, PD
    PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 2002, 130 (03) : 883 - 892
  • [43] SOLUTIONS OF CERTAIN HYPERBOLIC AND ELLIPTIC PROBLEMS IN TERMS OF SERIES INVOLVING JACOBI POLYNOMIALS AND BESSEL FUNCTIONS
    PARIHAR, KS
    JOURNAL D ANALYSE MATHEMATIQUE, 1975, 27 : 1 - 23
  • [44] INEQUALITIES ON GENERALIZED TRIGONOMETRIC FUNCTIONS
    Sun, Baoju
    Proceedings of the 2016 3rd International Conference on Mechatronics and Information Technology (ICMIT), 2016, 49 : 10 - 13
  • [45] New Masjed Jamei-Type Inequalities for Inverse Trigonometric and Inverse Hyperbolic Functions
    Zhu, Ling
    MATHEMATICS, 2022, 10 (16)
  • [46] On certain old and new trigonometric and hyperbolic inequalities
    Bhayo, Barkat Ali
    Sandor, Jozsef
    ANALYSIS MATHEMATICA, 2015, 41 (1-2) : 3 - 15
  • [47] Refinements of Some Classical Inequalities Involving Sinc and Hyperbolic Sinc Functions
    Bagul, Yogesh J. J.
    Thool, Sumedh B. B.
    Chesneau, Christophe
    Dhaigude, Ramkrishna M. M.
    ANNALES MATHEMATICAE SILESIANAE, 2023, 37 (01) : 1 - 15
  • [48] Inequalities for hyperbolic functions
    Neuman, Edward
    Sandor, Jozsef
    APPLIED MATHEMATICS AND COMPUTATION, 2012, 218 (18) : 9291 - 9295
  • [49] A SURVEY FOR GENERALIZED TRIGONOMETRIC AND HYPERBOLIC FUNCTIONS
    Yin, Li
    Huang, Li-Guo
    Wang, Yong-Li
    Lin, Xiu-Li
    JOURNAL OF MATHEMATICAL INEQUALITIES, 2019, 13 (03): : 833 - 854
  • [50] A NOTE ON GENERALIZED TRIGONOMETRIC AND HYPERBOLIC FUNCTIONS
    Song, Ying-Qing
    Chu, Yu-Ming
    Liu, Bao-Yu
    Wang, Miao-Kun
    JOURNAL OF MATHEMATICAL INEQUALITIES, 2014, 8 (03): : 635 - 642