The Hilbert-Type Integral Inequality with the System Kernel of - lambda Degree Homogeneous Form

被引：0

作者：

Xie, Zitian ^{[1
]}

Zeng, Zheng ^{[2
]}

机构：

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

[2] Shaoguan Univ, Shaoguan 512005, Guangdong, Peoples R China

来源：

KYUNGPOOK MATHEMATICAL JOURNAL | 2010年 / 50卷 / 02期

关键词：

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

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, the integral operator is used. We give a new Hilbert-type integral inequality, whose kernel is the homogeneous form with degree A and with three pairs of conjugate exponents and the best constant factor and its reverse form are also derived. It is shown that the results of this paper represent an extension as well as some improvements of the earlier results.

引用

页码：297 / 306

页数：10

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