A reverse Hardy–Hilbert-type integral inequality involving one derivative function

Journal of inequalities and applications

article

Qian Chen¹  Bicheng Yang² 

[1] Department of Computer Science, Guangdong University of Education;Department of Mathematics, Guangdong University of Education

关键词: Weight function;    Hardy–Hilbert-type integral inequality;    Derivative function;    Parameter;    Beta function;    Reverse;   

DOI  :  10.1186/s13660-020-02528-0

学科分类：电力

来源: SpringerOpen

【 摘 要 】

In this article, by using weight functions, the idea of introducing parameters, the reverse extended Hardy–Hilbert integral inequality and the techniques of real analysis, a reverse Hardy–Hilbert-type integral inequality involving one derivative function and the beta function is obtained. The equivalent statements of the best possible constant factor related to several parameters are considered. The equivalent form, the cases of non-homogeneous kernel and some particular inequalities are also presented.

【 授权许可】

CC BY