A more accurate half-discrete Hardy-Hilbert-type inequality with the logarithmic function

Journal of inequalities and applications

Aizhen Wang¹ 

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

DOI  :  10.1186/s13660-017-1408-x

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

By means of the weight functions, the technique of real analysis and Hermite-Hadamard’s inequality, a more accurate half-discrete Hardy-Hilbert-type inequality related to the kernel of logarithmic function and a best possible constant factor is given. Moreover, the equivalent forms, the operator expressions, the reverses and some particular cases are also considered.

【 授权许可】

CC BY