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

Journal of Inequalities and Applications

Jianhua Zhong¹  Bicheng Yang¹ 

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

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

DOI  :  10.1186/s13660-021-02551-9

来源: DOAJ

【 摘 要 】

Abstract By applying the weight functions, the idea of introducing parameters and the technique of real analysis, a new multiple Hilbert-type integral inequality involving the upper limit functions is given. The constant factor related to the gamma function is proved to be the best possible in a condition. A corollary about the case of the nonhomogeneous kernel and some particular inequalities are obtained.

【 授权许可】

Unknown