A half-discrete Hilbert-type inequality with a homogeneous kernel and an extension

Journal of inequalities and applications

Bicheng Yang¹ 

关键词: Hilbert-type inequality;    homogeneous kernel;    weight function;    equivalent form;    reverse;   

DOI  :  10.1186/1029-242X-2011-124

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

Using the way of weight functions and the technique of real analysis, a half-discrete Hilbert-type inequality with a general homogeneous kernel is obtained, and a best extension with two interval variables is given. The equivalent forms, the operator expressions, the reverses and some particular cases are considered. 2000 Mathematics Subject Classification: 26D15; 47A07.

【 授权许可】

CC BY