On a new Hilbert-type integral inequality involving the upper limit functions

Journal of inequalities and applications

article

Hongmin Mo¹  Bicheng Yang² 

[1] College of Mathematics and Statistics, Jishou University;Department of Mathematics, Guangdong University of Education

关键词: Weight function;    Hilbert-type integral inequality;    Upper limit function;    Parameter;    Beta function;    Gamma function;   

DOI  :  10.1186/s13660-019-2280-7

学科分类：电力

来源: SpringerOpen

【 摘 要 】

By applying the weight functions and the idea of introduced parameters we give a new Hilbert-type integral inequality involving the upper limit functions and the beta and gamma functions. We consider equivalent statements of the best possible constant factor related to a few parameters. As applications, we obtain a corollary in the case of a nonhomogeneous kernel and some particular inequalities.

【 授权许可】

CC BY