A more accurate half-discrete Hilbert-type inequality with a non-homogeneous kernel

Journal of inequalities and applications

Bicheng Yang¹ 

关键词: Hilbert-type inequality;    weight function;    equivalent form;    operator;   

DOI  :  10.1186/1029-242X-2012-292

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

By means of weight functions and the improved Euler-Maclaurin summation formula, a more accurate half-discrete Hilbert-type inequality with a non-homogeneous kernel and a best constant factor is given. A best extension, some equivalent forms, the operator expressions as well as some particular cases are also considered. MSC:26D15, 47A07.

【 授权许可】

CC BY