A more accurate reverse half-discrete Hilbert-type inequality

Journal of inequalities and applications

Aizhen Wang¹ 

关键词: weight function;    non-homogeneous kernel;    reverse;    equivalent form;    Hermite-Hadamard’s inequality;    26D15;    47A07;   

DOI  :  10.1186/s13660-015-0613-8

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

Using the way of weight functions and the idea of introducing parameters, and by means of Hermite-Hadamard’s inequality, a more accurate reverse half-discrete Hilbert-type inequality with the non-homogeneous kernel and a best constant factor is established. In addition, its best extension with parameters, the equivalent forms, as well as some particular cases are given.

【 授权许可】

CC BY