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
  • [1] Half-discrete Hilbert-type inequalities involving differential operators
    Vandanjav Adiyasuren
    Tserendorj Batbold
    Mario Krnić
    Journal of Inequalities and Applications, 2014
  • [2] Half-discrete Hilbert-type inequalities with mean operators, the best constants, and applications
    Adiyasuren, Vandanjav
    Batbold, Tserendorj
    Krnic, Mario
    APPLIED MATHEMATICS AND COMPUTATION, 2014, 231 : 148 - 159
  • [3] 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
  • [4] A CLASS OF HALF-DISCRETE HILBERT-TYPE INEQUALITIES IN THE WHOLE PLANE INVOLVING SOME CLASSICAL KERNELS
    You, Minghui
    JOURNAL OF MATHEMATICAL INEQUALITIES, 2023, 17 (04): : 1387 - 1410
  • [5] 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
  • [6] Construction of a class of half-discrete Hilbert-type inequalities in the whole plane
    You, Minghui
    OPEN MATHEMATICS, 2024, 22 (01):
  • [7] ON MORE ACCURATE REVERSE MULTIDIMENSIONAL HALF-DISCRETE HILBERT-TYPE INEQUALITIES
    Yang, Bicheng
    MATHEMATICAL INEQUALITIES & APPLICATIONS, 2015, 18 (02): : 589 - 605
  • [8] On a class of half-discrete Hilbert-type inequalities in the whole plane involving some classical special constants
    You, Minghui
    ITALIAN JOURNAL OF PURE AND APPLIED MATHEMATICS, 2024, (51): : 364 - 385
  • [9] On a more accurate half-discrete Hilbert-type inequality involving hyperbolic functions
    You, Minghui
    Sun, Xia
    Fan, Xiansheng
    OPEN MATHEMATICS, 2022, 20 (01): : 544 - 559
  • [10] MULTIPLE HILBERT-TYPE INEQUALITIES INVOLVING SOME DIFFERENTIAL OPERATORS
    Adiyasuren, Vandanjav
    Batbold, Tserendorj
    Krnic, Mario
    BANACH JOURNAL OF MATHEMATICAL ANALYSIS, 2016, 10 (02): : 320 - 337
12345