AN EXTENDED HARDY-HILBERT'S INEQUALITY WITH PARAMETERS AND APPLICATIONS

被引：5

作者：

Gu, Zhaohui ^{[1
]}

Yang, Bicheng ^{[2
]}

机构：

[1] Guangdong Univ & Foreign Studies, Sch Econ & Trade, Guangzhou 510006, Guangdong, Peoples R China

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

来源：

JOURNAL OF MATHEMATICAL INEQUALITIES | 2021年 / 15卷 / 04期

关键词：

Weight coefficient; Euler-Maclaurin summation formula; Hardy-Hilbert's inequality; internal variable; parameter; partial sum; DISCRETE; KERNEL;

D O I：

10.7153/jmi-2021-15-93

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

By using the weight coefficients, the Euler-Maclaurin summation formula and Abel's summation by parts formula, an extended Hardy-Hilbert's inequality with the power function as the interval variables and a new Hilbert-type inequality with the partial sums are given. As applications, the equivalent conditions of the best possible constant factor in a particular inequality related to a few parameters and some particular cases are considered.

引用

页码：1375 / 1389

页数：15

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