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
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
[31]   A more accurate half-discrete reverse Hilbert-type inequality with a non-homogeneous kernel [J].
Bicheng Yang ;
Qiang Chen .
Journal of Inequalities and Applications, 2014
[32]   On a more accurate half-discrete mulholland's inequality and an extension [J].
Qiang Chen ;
Bicheng Yang .
Journal of Inequalities and Applications, 2012
[33]   A half-discrete Hilbert-type inequality in the whole plane related to the Riemann zeta function [J].
Rassias, Michael Th. ;
Yang, Bicheng .
APPLICABLE ANALYSIS, 2018, 97 (09) :1505-1525
[34]   MORE ACCURATE FORM OF HALF-DISCRETE HILBERT-TYPE INEQUALITY WITH A GENERAL KERNEL [J].
You, Minghui ;
Song, Wei ;
Dong, Fei .
JOURNAL OF MATHEMATICAL INEQUALITIES, 2023, 17 (04) :1275-1291
[35]   On a more accurate half-discrete Hilbert-type inequality involving hyperbolic functions [J].
You, Minghui ;
Sun, Xia ;
Fan, Xiansheng .
OPEN MATHEMATICS, 2022, 20 (01) :544-559
[36]   A half-discrete Hilbert-type inequality with the non-monotone kernel and the best constant factor [J].
Xin, Dongmei ;
Yang, Bicheng .
JOURNAL OF INEQUALITIES AND APPLICATIONS, 2012,
[37]   A half-discrete Hilbert-type inequality with the non-monotone kernel and the best constant factor [J].
Dongmei Xin ;
Bicheng Yang .
Journal of Inequalities and Applications, 2012
[38]   A new half-discrete Mulholland-type inequality with multi-parameters [J].
Qiliang Huang ;
Bicheng Yang .
Journal of Inequalities and Applications, 2015
[39]   A new half-discrete Mulholland-type inequality with multi-parameters [J].
Huang, Qiliang ;
Yang, Bicheng .
JOURNAL OF INEQUALITIES AND APPLICATIONS, 2015,
[40]   Equivalent property of a half-discrete Hilbert’s inequality with parameters [J].
Zhenxiao Huang ;
Bicheng Yang .
Journal of Inequalities and Applications, 2018