The Hilbert-Type Integral Inequalities with a Homogeneous Kernel of [inline-graphic not available: see fulltext]-Degree

被引：0

作者：

Wuyi Zhong

机构：

[1] Guangdong Institute of Education,Department of Mathematics

来源：

Journal of Inequalities and Applications | / 2008卷

关键词：

Full Article; Publisher Note;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

By introducing an integral operator, a norm with a weight function, and two pairs of conjugate exponents, we find the conditions for the Hilbert-type integral inequalities with a homogeneous kernel of [inline-graphic not available: see fulltext]-degree. We also prove that the constant factors in the inequalities are all the best possible. As the particular situations, some new inequalities with a homogeneous kernel and their other two forms are given. We extend some previous results.

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