On a composition of two Hilbert-Hardy-type integral operators and related inequalities

被引：0
作者：
Bicheng Yang
Qiang Chen
机构：
[1] Guangdong University of Education,Department of Mathematics
[2] Guangdong University of Education,Department of Computer Science
来源：
Journal of Inequalities and Applications | / 2015卷
关键词：
Hilbert-Hardy-type integral inequality; weight function; equivalent form; reverse; composition of operators; 26D10; 26D15; 40A05; 33B15;
D O I：
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学科分类号：
摘要：
By applying the way of real and functional analysis and estimating the weight functions, we build some lemmas and deduce some Hilbert-type and Hilbert-Hardy-type integral inequalities with the best possible constant factors. The equivalent forms, the reverses and the operator expressions are all considered. The composition formula of two Hilbert-Hardy-type integral operators and some examples are given.
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