A half-discrete Hilbert-type inequality with the non-monotone kernel and the best constant factor

被引：2

作者：

Xin, Dongmei ^{[1
]}

Yang, Bicheng ^{[1
]}

机构：

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

来源：

JOURNAL OF INEQUALITIES AND APPLICATIONS | 2012年

关键词：

Hilbert-type inequality; conjugate exponent; Holder's inequality; best constant factor; equivalent form;

D O I：

10.1186/1029-242X-2012-184

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

By introducing two pairs of conjugate exponents and using the improved Euler-Maclaurin summation formula, we estimate the weight functions and obtain a half-discrete Hilbert-type inequality with the non-monotone kernel and the best constant factor. We also consider its equivalent forms.

引用

页数：8

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