On Certain Extension of Hilbert's Integral Inequality with Best Constants

被引：0

作者：

Li, Yongjin ^{[1
]}

Lin, Yu ^{[2
]}

He, Bing ^{[3
]}

机构：

[1] Sun Yat Sen Univ sity, Inst Log & Cognit, Dept Math, Guangzhou 510275, Guangdong, Peoples R China

[2] Sun Yat Sen Univ, Dept Math, Guangzhou 510275, Guangdong, Peoples R China

[3] Guangdong Educ Coll, Dept Math, Guangzhou 510303, Guangdong, Peoples R China

来源：

KYUNGPOOK MATHEMATICAL JOURNAL | 2008年 / 48卷 / 03期

关键词：

Hilbert's integral inequality; Weight function;

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, by introducing a new function with two parameters, we give another generalizations of the Hilbert's integral inequality with a mixed kernel k(x, y) = 1/A(x+y)+B|x-y| and a best constant factors. As applications, some particular results with the best constant factors are considered.

引用

页码：457 / 463

页数：7

共 12 条

[1]

CHOW Y. C., 1939, J LOND MATH SOC, V14, P151

[2]

Gao MZ, 1997, J MATH ANAL APPL, V212, P316

[3]

Hardy G. H., 1934, INEQUALITIES

[4] Note on a theorem of Hilbert. [J].

Hardy, GH .

MATHEMATISCHE ZEITSCHRIFT, 1920, 6 :314-317

[5]

Kuang J. C., 1993, APPL INEQUALITIES

[6]

Kuang JC, 1999, J MATH ANAL APPL, V235, P608

[7]

LI Y, 2006, INT J MATH MATH SCI

[8]

MITRINOVIC D. S., 1991, INEQUALITIES INVOLVI

[9]

Pachpatte BG., 1999, TAMKANG J MATH, V30, P139

[10]

SULAIMAN WT, 2006, JIPAM J INEQUAL PURE, V7

← 1 2 →