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
  • [1] New half-discrete Hilbert inequalities for three variables
    Tserendorj Batbold
    Laith E. Azar
    Journal of Inequalities and Applications, 2018
  • [2] Half-discrete Hilbert-type inequalities involving differential operators
    Adiyasuren, Vandanjav
    Batbold, Tserendorj
    Krnic, Mario
    JOURNAL OF INEQUALITIES AND APPLICATIONS, 2014,
  • [3] Half-discrete Hilbert-type inequalities involving differential operators
    Vandanjav Adiyasuren
    Tserendorj Batbold
    Mario Krnić
    Journal of Inequalities and Applications, 2014
  • [4] DISCRETE ANALOGUES OF HILBERT INTEGRAL INEQUALITIES FOR THREE VARIABLES
    Batbold, Tserendorj
    Azar, Laith Emil
    JOURNAL OF INEQUALITIES AND SPECIAL FUNCTIONS, 2018, 9 (04) : 66 - 76
  • [5] A Unified Treatment of Half-Discrete Hilbert-Type Inequalities with a Homogeneous Kernel
    Krnic, Mario
    Pecaric, Josip
    Vukovic, Predrag
    MEDITERRANEAN JOURNAL OF MATHEMATICS, 2013, 10 (04) : 1697 - 1716
  • [6] A Unified Treatment of Half-Discrete Hilbert-Type Inequalities with a Homogeneous Kernel
    Mario Krnić
    Josip Pečarić
    Predrag Vuković
    Mediterranean Journal of Mathematics, 2013, 10 : 1697 - 1716
  • [7] ON MORE ACCURATE REVERSE MULTIDIMENSIONAL HALF-DISCRETE HILBERT-TYPE INEQUALITIES
    Yang, Bicheng
    MATHEMATICAL INEQUALITIES & APPLICATIONS, 2015, 18 (02): : 589 - 605
  • [8] A NEW MULTIPLE HALF-DISCRETE HILBERT-TYPE INEQUALITY
    He, Bing
    Yang, Bicheng
    MATHEMATICAL INEQUALITIES & APPLICATIONS, 2014, 17 (04): : 1471 - 1485
  • [9] Half-discrete Hardy-Hilbert’s inequality with two interval variables
    Qiang Chen
    Bicheng Yang
    Journal of Inequalities and Applications, 2013
  • [10] Half-discrete Hardy-Hilbert's inequality with two interval variables
    Chen, Qiang
    Yang, Bicheng
    JOURNAL OF INEQUALITIES AND APPLICATIONS, 2013,
12345