A half-discrete Hardy-Hilbert-type inequality related to hyperbolic secant function

被引:0
|
作者
Bicheng Yang
Qiang Chen
机构
[1] Guangdong University of Education,Department of Mathematics
[2] Guangdong University of Education,Department of Computer Science
关键词
Hardy-Hilbert-type inequality; weight function; equivalent form; reverse; operator; 26D15; 47A07; 37A10;
D O I
暂无
中图分类号
学科分类号
摘要
By applying weight functions and technique of real analysis, a half-discrete Hardy-Hilbert-type inequality related to the kernel of hyperbolic secant function and a best possible constant factor are given. The equivalent forms, the operator expressions with the norm, the reverses, and some particular cases are also considered.
引用
收藏
相关论文
共 50 条
  • [41] A NEW HALF-DISCRETE HILBERT-TYPE INEQUALITY IN THE WHOLE PLANE
    Yang, Bicheng
    He, Bing
    JOURNAL OF APPLIED ANALYSIS AND COMPUTATION, 2017, 7 (03): : 977 - 991
  • [42] A more accurate multidimensional Hardy-Hilbert-type inequality
    Yang, Bicheng
    JOURNAL OF KING SAUD UNIVERSITY SCIENCE, 2019, 31 (02) : 164 - 170
  • [43] On a Hardy-Hilbert-type inequality with a general homogeneous kernel
    Rassias, Michael Th
    Yang, Bicheng
    INTERNATIONAL JOURNAL OF NONLINEAR ANALYSIS AND APPLICATIONS, 2016, 7 (01): : 249 - 269
  • [44] A reverse Hardy-Hilbert-type integral inequality involving one derivative function
    Chen, Qian
    Yang, Bicheng
    JOURNAL OF INEQUALITIES AND APPLICATIONS, 2020, 2020 (01)
  • [45] On a more accurate half-discrete Hilbert's inequality
    Huang, Qiliang
    Yang, Bicheng
    JOURNAL OF INEQUALITIES AND APPLICATIONS, 2012,
  • [46] On a more accurate half-discrete Hilbert's inequality
    Qiliang Huang
    Bicheng Yang
    Journal of Inequalities and Applications, 2012
  • [47] ON A NEW HALF-DISCRETE HILBERT-TYPE INEQUALITY WITH THE MULTIPLE UPPER LIMIT FUNCTION AND THE PARTIAL SUMS
    Wang, Aizhen
    Yong, Hong
    Yang, Bicheng
    JOURNAL OF APPLIED ANALYSIS AND COMPUTATION, 2022, 12 (02): : 814 - 830
  • [48] On an Extension of a Hardy-Hilbert-Type Inequality with Multi-Parameters
    Yang, Bicheng
    Rassias, Michael Th.
    Raigorodskii, Andrei
    MATHEMATICS, 2021, 9 (19)
  • [49] Equivalent properties of a reverse half-discrete Hilbert’s inequality
    Ai-zhen Wang
    Bi-cheng Yang
    Qiang Chen
    Journal of Inequalities and Applications, 2019
  • [50] Equivalent property of a half-discrete Hilbert’s inequality with parameters
    Zhenxiao Huang
    Bicheng Yang
    Journal of Inequalities and Applications, 2018