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
收藏
页码：1647 / 1662
页数：16
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