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

被引：0
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作者：
Hongmin Mo
Bicheng Yang
机构：
[1] Jishou University,College of Mathematics and Statistics
[2] Guangdong University of Education,Department of Mathematics
来源：
Journal of Inequalities and Applications | / 2020卷
关键词：
Weight function; Hilbert-type integral inequality; Upper limit function; Parameter; Beta function; Gamma function; 26D15;
D O I：
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学科分类号：
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.
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