ON A MORE ACCURATE HILBERT-TYPE INEQUALITY INVOLVING THE PARTIAL SUMS

被引：1

作者：

He, Bing ^{[1
]}

Zhong, Yaru ^{[2
]}

Yang, Bicheng ^{[1
]}

机构：

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

[2] Guilin Univ Elect Technol, Sch Comp Sci & Informat Secur, Guilin 541004, Guangxi, Peoples R China

来源：

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

关键词：

Weight coefficient; Euler-Maclaurin summation formula; Hilbert-type inequality; parameter; partial sum; DISCRETE; KERNEL;

D O I：

10.7153/jmi-2021-15-113

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

By means of the weight coefficients, Hermite-Hadamard's inequality, the Euler-Maclaurin summation formula and Abel's summation by parts formula, a more accurate Hilbert-type inequality with the partial sums is given. The equivalent conditions of the best possible constant factor related to several parameters and some particular inequalities are also obtained.

引用

页码：1647 / 1662

页数：16

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