On a Reverse Half-Discrete Hardy-Hilbert's Inequality with Parameters

被引：31
作者：
Yang, Bicheng [1 ]
Wu, Shanhe [2 ]
Wang, Aizhen [3 ]
机构：
[1] Longyan Univ, Inst Appl Math, Longyan 364012, Peoples R China
[2] Longyan Univ, Dept Math, Longyan 364012, Peoples R China
[3] Guangdong Univ Educ, Dept Math, Guangzhou 510303, Guangdong, Peoples R China
来源：
MATHEMATICS | 2019年 / 7卷 / 11期
关键词：
weight function; half-discrete Hardy-Hilbert's inequality; parameter; Euler-Maclaurin summation formula; reverse inequality; OPERATOR; NORM;
D O I：
10.3390/math7111054
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
By means of the weight functions, the idea of introduced parameters, and the Euler-Maclaurin summation formula, a reverse half-discrete Hardy-Hilbert's inequality and the reverse equivalent forms are given. The equivalent statements of the best possible constant factor involving several parameters are considered. As applications, two results related to the case of the non-homogeneous kernel and some particular cases are obtained.
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页数：12
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