On a half-discrete Hilbert-type inequality similar to Mulholland's inequality

被引：18
作者：
Huang, Zhenxiao [1 ]
Yang, Bicheng [2 ]
机构：
[1] Zhanjiang Normal Univ, Basic Educ Coll, Zhanjiang 524037, Guangdong, Peoples R China
[2] Guangdong Univ Educ, Dept Math, Guangzhou 510303, Guangdong, Peoples R China
来源：
JOURNAL OF INEQUALITIES AND APPLICATIONS | 2013年
关键词：
Hilbert-type inequality; weight function; equivalent form;
D O I：
10.1186/1029-242X-2013-290
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
By using the way of weight functions and Hadamard's inequality, a half-discrete Hilbert-type inequality similar to Mulholland's inequality with a best constant factor is given. The extension with multi-parameters, the equivalent forms as well as the operator expressions are also considered.
引用
收藏
页数：8
相关论文
共 50 条
  • [21] A more accurate half-discrete Hilbert-type inequality with a non-homogeneous kernel
    Bicheng Yang
    Xindong Liu
    Journal of Inequalities and Applications, 2012
  • [22] On a Half-Discrete Mulholland's Inequality and Its Extension
    Yang, Bicheng
    THAI JOURNAL OF MATHEMATICS, 2013, 11 (02): : 481 - 489
  • [23] 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
  • [24] On a multidimensional half-discrete Hilbert-type inequality related to the hyperbolic cotangent function
    Rassias, M.T. (michail.rassias@math.ethz.ch), 1600, Elsevier Inc. (242): : 800 - 813
  • [25] On a half-discrete reverse Mulholland-type inequality and an extension
    Liu, Tuo
    Yang, Bicheng
    He, Leping
    JOURNAL OF INEQUALITIES AND APPLICATIONS, 2014,
  • [26] A NEW HALF-DISCRETE MULHOLLAND-TYPE INEQUALITY WITH PARAMETERS
    Yang, Bicheng
    ANNALS OF FUNCTIONAL ANALYSIS, 2012, 3 (01) : 142 - 150
  • [27] On half-discrete Hilbert's inequality
    Rassias, Michael Th.
    Yang, Bicheng
    APPLIED MATHEMATICS AND COMPUTATION, 2013, 220 : 75 - 93
  • [28] On a half-discrete reverse Mulholland-type inequality and an extension
    Tuo Liu
    Bicheng Yang
    Leping He
    Journal of Inequalities and Applications, 2014
  • [29] A more accurate half-discrete reverse Hilbert-type inequality with a non-homogeneous kernel
    Yang, Bicheng
    Chen, Qiang
    JOURNAL OF INEQUALITIES AND APPLICATIONS, 2014,
  • [30] A more accurate half-discrete reverse Hilbert-type inequality with a non-homogeneous kernel
    Bicheng Yang
    Qiang Chen
    Journal of Inequalities and Applications, 2014
12345