A half-discrete Hardy-Hilbert-type inequality related to hyperbolic secant function

Journal of inequalities and applications

Bicheng Yang¹ 

关键词: Hardy-Hilbert-type inequality;    weight function;    equivalent form;    reverse;    operator;    26D15;    47A07;    37A10;   

DOI  :  10.1186/s13660-015-0929-4

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

By applying weight functions and technique of real analysis, a half-discrete Hardy-Hilbert-type inequality related to the kernel of hyperbolic secant function and a best possible constant factor are given. The equivalent forms, the operator expressions with the norm, the reverses, and some particular cases are also considered.

【 授权许可】

CC BY