Parameterized Hilbert-Type Integral Inequalities in the Whole Plane

被引：13

作者：

Huang, Qiliang ^{[1
]}

Wu, Shanhe ^{[2
]}

Yang, Bicheng ^{[1
]}

机构：

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

[2] Longyan Univ, Dept Math & Comp Sci, Longyan 364012, Fujian, Peoples R China

来源：

SCIENTIFIC WORLD JOURNAL | 2014年

基金：

中国国家自然科学基金;

关键词：

OPERATOR; NORM;

D O I：

10.1155/2014/169061

中图分类号：

O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];

学科分类号：

07 ; 0710 ; 09 ;

摘要：

By the use of the way of real analysis, we estimate the weight functions and give some new Hilbert-type integral inequalities in the whole plane with nonhomogeneous kernels and multiparameters. The constant factors related to the hypergeometric function and the beta function are proved to be the best possible. We also consider the equivalent forms, the reverses, and some particular cases in the homogeneous kernels.

引用

页数：8

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