A new more accurate half-discrete Hilbert-type inequality

Journal of inequalities and applications

Aizhen Wang¹ 

关键词: weight function;    parameter;    reverse;    equivalent form;    Hadamard’s inequality;    Hilbert-type inequality;   

DOI  :  10.1186/1029-242X-2012-260

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

By using the way of weight functions and the idea of introducing parameters and by means of Hadamard’s inequality, we give a more accurate half-discrete Hilbert-type inequality with a best constant factor. We also consider its best extension with parameters, equivalent forms, operator expressions as well as some reverses. MSC:26D15, 47A07.

【 授权许可】

CC BY