A Hilbert's Type Inequality With Three Parameters

被引：1

作者：

Xi, Gaowen ^{[1
]}

机构：

[1] Chongqing Univ Sci & Technol, Dept Math, Chongqing 401331, Peoples R China

来源：

FILOMAT | 2019年 / 33卷 / 13期

关键词：

Hilbert's type inequality; weight coefficient; Holder's inequality; Riemann zeta function; generalizations;

D O I：

10.2298/FIL1913165X

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, by introducing three parameters A, B, alpha and using the Euler-Maclaurin expansion for the Riemann zeta function, we establish an inequality of a weight coefficient. Using this inequality, we derive generalizations of a Hilbert's type inequality.

引用

页码：4165 / 4173

页数：9

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