A Hilbert-type integral inequality whose kernel is a homogeneous form of degree-3

被引：7

作者：

Xie, Zitian ^{[1
]}

Zheng, Zeng ^{[1
]}

机构：

[1] Zhaoqing Univ, Dept Math, Zhaoqing 526061, Guangdong, Peoples R China

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2008年 / 339卷 / 01期

关键词：

Hilbert-type integral inequality; weight function; Holder's inequality;

D O I：

10.1016/j.jmaa.2007.06.059

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, by estimating the weight function, we give a new Hilbert-type integral inequality whose kernel is a homogeneous form of degree -3 with the best constant factor and the reverse form is considered. (c) 2007 Elsevier Inc. All rights reserved.

引用

页码：324 / 331

页数：8