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
  • [31] On a half-discrete Hilbert-type inequality similar to Mulholland's inequality
    Huang, Zhenxiao
    Yang, Bicheng
    JOURNAL OF INEQUALITIES AND APPLICATIONS, 2013,
  • [32] On a half-discrete Hilbert-type inequality similar to Mulholland’s inequality
    Zhenxiao Huang
    Bicheng Yang
    Journal of Inequalities and Applications, 2013
  • [33] Half-discrete of Hilbert inequality for three variables
    Nizar Kh. Al-Oushoush
    Afrika Matematika, 2023, 34
  • [34] A Half-Discrete Hilbert-Type Inequality in the Whole Plane with Multiparameters
    Ma, Qunwei
    Yang, Bicheng
    He, Leping
    JOURNAL OF FUNCTION SPACES, 2016, 2016
  • [35] A new more accurate half-discrete Hilbert-type inequality
    Wang, Aizhen
    Yang, Bicheng
    JOURNAL OF INEQUALITIES AND APPLICATIONS, 2012,
  • [36] A half-discrete Hilbert-type inequality with a homogeneous kernel and an extension
    Bicheng Yang
    Qiang Chen
    Journal of Inequalities and Applications, 2011
  • [37] A half-discrete Hilbert-type inequality with a homogeneous kernel and an extension
    Yang, Bicheng
    Chen, Qiang
    JOURNAL OF INEQUALITIES AND APPLICATIONS, 2011,
  • [38] A new more accurate half-discrete Hilbert-type inequality
    Aizhen Wang
    Bicheng Yang
    Journal of Inequalities and Applications, 2012
  • [39] A more accurate reverse half-discrete Hilbert-type inequality
    Aizhen Wang
    Bicheng Yang
    Journal of Inequalities and Applications, 2015
  • [40] A more accurate reverse half-discrete Hilbert-type inequality
    Wang, Aizhen
    Yang, Bicheng
    JOURNAL OF INEQUALITIES AND APPLICATIONS, 2015,