Half-discrete Hilbert-type inequalities involving differential operators

被引：0
|
作者：
Adiyasuren, Vandanjav [1 ]
Batbold, Tserendorj [2 ]
Krnic, Mario [3 ]
机构：
[1] Natl Univ Mongolia, Dept Math Anal, Ulaanbaatar 14201, Mongolia
[2] Natl Univ Mongolia, Inst Math, Ulaanbaatar 14201, Mongolia
[3] Univ Zagreb, Fac Elect Engn & Comp, Zagreb 10000, Croatia
来源：
JOURNAL OF INEQUALITIES AND APPLICATIONS | 2014年
关键词：
Hilbert inequality; Hardy inequality; half-discrete inequality; differential operator; homogeneous function;
D O I：
10.1186/1029-242X-2014-83
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Motivated by some recent results, in this paper we derive several half-discrete Hilbert-type inequalities with a homogeneous kernel involving some differential operators. The main results are proved for the case of non-conjugate parameters. After reduction to the conjugate case, we show that the constants appearing on the right-hand sides of these inequalities are the best possible.
引用
收藏
页数：12
相关论文
共 50 条
  • [41] The equivalent parameter conditions for constructing multiple integral half-discrete Hilbert-type inequalities with a class of nonhomogeneous kernels and their applications
    He, Bing
    Hong, Yong
    Chen, Qiang
    OPEN MATHEMATICS, 2021, 19 (01): : 400 - 411
  • [42] A more accurate half-discrete Hilbert-type inequality with a non-homogeneous kernel
    Yang, Bicheng
    Liu, Xindong
    JOURNAL OF INEQUALITIES AND APPLICATIONS, 2012,
  • [43] On a more accurate half-discrete multidimensional Hilbert-type inequality involving one derivative function of m-order
    Hong, Yong
    Zhong, Yanru
    Yang, Bicheng
    JOURNAL OF INEQUALITIES AND APPLICATIONS, 2023, 2023 (01)
  • [44] A More Accurate Half-Discrete Hilbert-Type Inequality Involving One upper Limit Function and One Partial Sum
    Huang, Xianyong
    Wu, Shanhe
    Yang, Bicheng
    SYMMETRY-BASEL, 2021, 13 (08):
  • [45] On a more accurate half-discrete multidimensional Hilbert-type inequality involving one derivative function of m-order
    Yong Hong
    Yanru Zhong
    Bicheng Yang
    Journal of Inequalities and Applications, 2023
  • [46] A half-discrete Hilbert-type inequality in the whole plane related to the Riemann zeta function
    Rassias, Michael Th.
    Yang, Bicheng
    APPLICABLE ANALYSIS, 2018, 97 (09) : 1505 - 1525
  • [47] A more accurate half-discrete Hilbert-type inequality with a non-homogeneous kernel
    Bicheng Yang
    Xindong Liu
    Journal of Inequalities and Applications, 2012
  • [48] A Half-Discrete Hilbert-Type Inequality with a Non-Homogeneous Kernel and Two Variables
    Bicheng Yang
    Mediterranean Journal of Mathematics, 2013, 10 : 677 - 692
  • [49] A Half-Discrete Hilbert-Type Inequality with a Non-Homogeneous Kernel and Two Variables
    Yang, Bicheng
    MEDITERRANEAN JOURNAL OF MATHEMATICS, 2013, 10 (02) : 677 - 692
  • [50] New half-discrete Hilbert inequalities for three variables
    Batbold, Tserendorj
    Azar, Laith E.
    JOURNAL OF INEQUALITIES AND APPLICATIONS, 2018,
12345