New half-discrete Hilbert inequalities for three variables

被引:10
作者
Batbold, Tserendorj [1 ]
Azar, Laith E. [2 ]
机构
[1] Natl Univ Mongolia, Dept Math, Ulaanbaatar 14201, Mongolia
[2] Al Al Bayt Univ, Dept Math, POB 130095, Mafraq, Jordan
来源
JOURNAL OF INEQUALITIES AND APPLICATIONS | 2018年
关键词
Hilbert inequality; half-discrete inequality; the best possible constant; equivalent form;
D O I
10.1186/s13660-017-1594-6
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
In this paper, we obtain two new half-discrete Hilbert inequalities for three variables. The obtained inequalities are with the best constant factor. Moreover, we give their equivalent forms.
引用
收藏
页数:15
相关论文
共 50 条
  • [21] Equivalent property of a half-discrete Hilbert's inequality with parameters
    Huang, Zhenxiao
    Yang, Bicheng
    JOURNAL OF INEQUALITIES AND APPLICATIONS, 2018,
  • [22] A half-discrete Hilbert-type inequality with a homogeneous kernel and an extension
    Bicheng Yang
    Qiang Chen
    Journal of Inequalities and Applications, 2011
  • [23] A more accurate reverse half-discrete Hilbert-type inequality
    Aizhen Wang
    Bicheng Yang
    Journal of Inequalities and Applications, 2015
  • [24] A more accurate reverse half-discrete Hilbert-type inequality
    Wang, Aizhen
    Yang, Bicheng
    JOURNAL OF INEQUALITIES AND APPLICATIONS, 2015,
  • [25] A half-discrete Hilbert-type inequality with a homogeneous kernel and an extension
    Yang, Bicheng
    Chen, Qiang
    JOURNAL OF INEQUALITIES AND APPLICATIONS, 2011,
  • [26] On a half-discrete Hilbert-type inequality similar to Mulholland's inequality
    Huang, Zhenxiao
    Yang, Bicheng
    JOURNAL OF INEQUALITIES AND APPLICATIONS, 2013,
  • [27] On a half-discrete Hilbert-type inequality similar to Mulholland’s inequality
    Zhenxiao Huang
    Bicheng Yang
    Journal of Inequalities and Applications, 2013
  • [28] A multidimensional half-discrete Hilbert-type inequality and the Riemann zeta function
    Rassias, Michael Th.
    Yang, Bicheng
    APPLIED MATHEMATICS AND COMPUTATION, 2013, 225 : 263 - 277
  • [29] A more accurate half-discrete Hilbert-type inequality in the whole plane and the reverses
    Rassias, Michael Th
    Yang, Bicheng
    Meletiou, Gerasimos C.
    ANNALS OF FUNCTIONAL ANALYSIS, 2021, 12 (03)
  • [30] A half-discrete Hardy-Hilbert-type inequality related to hyperbolic secant function
    Bicheng Yang
    Qiang Chen
    Journal of Inequalities and Applications, 2015