ON A MORE ACCURATE MULTIDIMENSIONAL HILBERT-TYPE INEQUALITY WITH PARAMETERS

被引：23
|
作者：
Yang, Bicheng [1 ]
机构：
[1] Guangdong Univ Educ, Dept Math, Guangzhou 510303, Guangdong, Peoples R China
来源：
MATHEMATICAL INEQUALITIES & APPLICATIONS | 2015年 / 18卷 / 02期
基金：
中国国家自然科学基金;
关键词：
Hilbert-type inequality; weight coefficient; equivalent form; operator; norm;
D O I：
10.7153/mia-18-32
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, by using the way of weight coefficients and technique of real analysis and complex analysis, a more accurate multidimensional discrete Hilbert-type inequality with a best possible constant factor and some parameters is given. The equivalent form, the operator expression with the norm are also considered.
引用
收藏
页码：429 / 441
页数：13
相关论文
共 50 条
  • [31] A New Hilbert-Type Integral Inequality with Parameters
    Xue Mei GAO
    Journal of Mathematical Research with Applications, 2011, (03) : 467 - 473
  • [32] 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)
  • [33] MORE ACCURATE FORM OF HALF-DISCRETE HILBERT-TYPE INEQUALITY WITH A GENERAL KERNEL
    You, Minghui
    Song, Wei
    Dong, Fei
    JOURNAL OF MATHEMATICAL INEQUALITIES, 2023, 17 (04): : 1275 - 1291
  • [34] 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
  • [35] A HILBERT-TYPE INEQUALITY
    Burman, Prabir
    MATHEMATICAL INEQUALITIES & APPLICATIONS, 2015, 18 (04): : 1253 - 1260
  • [36] A more accurate half-discrete Hilbert-type inequality in the whole plane and the reverses
    Michael Th. Rassias
    Bicheng Yang
    Gerasimos C. Meletiou
    Annals of Functional Analysis, 2021, 12
  • [37] 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)
  • [38] 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
  • [39] On a multidimensional Hilbert-type integral inequality associated to the gamma function
    Rassias, Michael Th.
    Yang, Bicheng
    APPLIED MATHEMATICS AND COMPUTATION, 2014, 249 : 408 - 418
  • [40] More Accurate Hilbert-Type Inequalities in a Difference Form
    Tserendorj Batbold
    Mario Krnić
    Josip Pečarić
    Results in Mathematics, 2018, 73
12345