Hardy-Hilbert-Type Inequalities with a Homogeneous Kernel in Discrete Case

被引：1

作者：

Pecaric, Josip ^{[2
]}

Vukovic, Predrag ^{[1
]}

机构：

[1] Univ Zagreb, Fac Teacher Educ, Cakovec 40000, Croatia

[2] Univ Zagreb, Fac Textile Technol, Zagreb 10000, Croatia

来源：

JOURNAL OF INEQUALITIES AND APPLICATIONS | 2010年

关键词：

Constant Factor; Type Inequality; Homogeneous Function; Counting Measure; Numerous Mathematician;

D O I：

10.1155/2010/912601

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The main objective of this paper is a study of some new generalizations of Hilbert's and Hardy-Hilbert's type inequalities. We apply our general results to homogeneous functions. We shall obtain, in a similar way as Yang did in (2009), that the constant factors are the best possible when the parameters satisfy appropriate conditions.

引用

页数：8

共 6 条

[1] [Anonymous], 1967, INEQUALITIES
[2] Krnic M, 2005, MATH INEQUAL APPL, V8, P29
[3] Yang BC, 1999, J MATH ANAL APPL, V233, P484
[4] On a Hilbert-Type Operator with a Class of Homogeneous Kernels
Yang, Bicheng
[J]. JOURNAL OF INEQUALITIES AND APPLICATIONS, 2009,
[5] A DNA solution of SAT problem by a modified sticker model
Yang, CN
Yang, CB
[J]. BIOSYSTEMS, 2005, 81 (01) : 1 - 9
[6] A Hilbert-Type Linear Operator with the Norm and Its Applications
Zhong, Wuyi
[J]. JOURNAL OF INEQUALITIES AND APPLICATIONS, 2009,

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