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
收藏
页码：4165 / 4173
页数：9
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