On a Relation to Hilbert's Integral Inequality and a Hilbert-Type Inequality

被引：0

作者：

Yang, Bicheng ^{[1
]}

机构：

[1] Guangdong Educ Inst, Dept Math, Guangzhou 510303, Guangdong, Peoples R China

来源：

KYUNGPOOK MATHEMATICAL JOURNAL | 2009年 / 49卷 / 03期

关键词：

Hilbert's integral inequality; weight function; H-L-P 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, by introducing some parameters and using the way of weight function, a new integral inequality with a best constant factor is given, which is a relation between Hilbert's integral inequality and a Hilbert-type inequality. As applications, the equivalent form, the reverse forms and some particular inequalities are considered.

引用

页码：563 / 572

页数：10

共 12 条

[1]

Azar L. E., 2008, J INEQUAL APPL, V2008

[2]

[葛晓葵 GE Xiaokui], 2007, [暨南大学学报. 自然科学与医学版, Journal of Jinan University], V28, P447

[3]

Hardy G. H., 1952, MATH GAZ

[4]

Kuang JC, 1996, INTRO REAL ANAL

[5]

Kuang JCh., 2004, APPL INEQUALITIES

[6] On inequalities of Hilbert's type [J].

Li, Yongjin ;

He, Bing .

BULLETIN OF THE AUSTRALIAN MATHEMATICAL SOCIETY, 2007, 76 (01) :1-13

[7]

Li Yongjin, INT J MATH MATH SOC, V2006, P1

[8]

Mintrinovic D. S., 1991, INEQUALITIES INVOLVI

[9]

[谢春娥 XIE Chune], 2007, [暨南大学学报. 自然科学与医学版, Journal of Jinan University], V28, P24

[10]

YANG B. C., 2004, AUSTR J MATH ANAL AP, V1, P1

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