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

被引：0
作者：
Zhong, Jianhua [1 ]
Yang, Bicheng [1 ]
机构：
[1] Guangdong Univ Educ, Dept Math, Guangzhou 51003, Guangdong, Peoples R China
来源：
JOURNAL OF INEQUALITIES AND APPLICATIONS | 2021年 / 2021卷 / 01期
关键词：
Weight function; Hilbert-type integral inequality; Upper limit function; Parameter; Gamma function;
D O I：
10.1186/s13660-021-02551-9
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
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.
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页数：9
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