A half-discrete Hardy-Hilbert-type inequality related to hyperbolic secant function

被引：1
作者：
Yang, Bicheng [1 ]
Chen, Qiang [2 ]
机构：
[1] Guangdong Univ Educ, Dept Math, Guangzhou 51003, Guangdong, Peoples R China
[2] Guangdong Univ Educ, Dept Comp Sci, Guangzhou 51003, Guangdong, Peoples R China
来源：
JOURNAL OF INEQUALITIES AND APPLICATIONS | 2015年
基金：
中国国家自然科学基金;
关键词：
Hardy-Hilbert-type inequality; weight function; equivalent form; reverse; operator; INTEGRAL INEQUALITY;
D O I：
10.1186/s13660-015-0929-4
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
By applying weight functions and technique of real analysis, a half-discrete Hardy-Hilbert-type inequality related to the kernel of hyperbolic secant function and a best possible constant factor are given. The equivalent forms, the operator expressions with the norm, the reverses, and some particular cases are also considered.
引用
收藏
页码：1 / 24
页数：24
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