A new extension of a Hardy-Hilbert-type inequality

被引:47
作者
Huang, Qiliang [1 ]
机构
[1] Guangdong Univ Educ, Dept Math, Guangzhou 510303, Guangdong, Peoples R China
关键词
Hardy-Hilbert-type inequality; parameter; weight coefficient; equivalent form; reverse;
D O I
10.1186/s13660-015-0918-7
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
By introducing independent parameters, and applying weight coefficients and the technique of real analysis, we give a new extension of a Hardy-Hilbert-type inequality with a best possible constant factor. Furthermore, the equivalent forms, the operator expressions, and the reverses are considered.
引用
收藏
页码:1 / 12
页数:12
相关论文
共 14 条
[1]  
[Anonymous], AUST J MATH ANAL APP
[2]  
Bi Cheng Yang, 2006, Acta Mathematica Sinica, V49, P363
[3]  
Hardy G.H., 1952, Inequalities
[4]  
Hardy GH, 1925, P LOND MATH SOC, V23, P1
[5]  
He B, 2010, KYUNGPOOK MATH J, V50, P307
[6]  
Kuang J. C., 2010, Applied Inequalities, V4th
[7]  
[辛冬梅 Xin Dongmei], 2010, [数学杂志, Journal of Mathematics], V30, P554
[8]  
Yang B. C., 2008, J. Math. Inequal, V2, P139, DOI [10.7153/jmi-02-14, DOI 10.7153/JMI-02-14]
[9]  
Yang B.C., 2011, DISCRETE HILBERT TYP
[10]  
Yang B. C., 2007, INT J MATH ANAL, V1, P123