A New Dual Hardy-Hilbert's Inequality with some Parameters and its Reverse

被引：0

作者：

Zhong, Wuyi ^{[1
]}

机构：

[1] Guangdong Inst Educ, Dept Math, Guangzhou 510303, Guangdong, Peoples R China

来源：

KYUNGPOOK MATHEMATICAL JOURNAL | 2009年 / 49卷 / 03期

关键词：

Euler-Maclaurin summation formula; dual Hardy-Hilbert's inequality; reverse form; best constant factor; equivalent form;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

By using the improved Euler-Maclaurin summation formula and estimating the weight coefficients in this paper, a new dual Hardy-Hilbert's inequality and its reverse form are obtained, which are all with two pairs of conjugate exponents (p, q), (r, s) and a independent parameter A. In addition, some equivalent forms of the inequalities are considered. We also prove that the constant factors in the new inequalities are all the best possible. As a particular case of our results, we obtain the reverse form of a famous Hardy-Hilbert's inequality.

引用

页码：493 / 506

页数：14

共 12 条

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