Half-discrete Hilbert-type inequalities involving differential operators

被引：0
作者：
Vandanjav Adiyasuren
Tserendorj Batbold
Mario Krnić
机构：
[1] National University of Mongolia,Department of Mathematical Analysis
[2] National University of Mongolia,Institute of Mathematics
[3] University of Zagreb,Faculty of Electrical Engineering and Computing
来源：
Journal of Inequalities and Applications | / 2014卷
关键词：
Hilbert inequality; Hardy inequality; half-discrete inequality; differential operator; homogeneous function;
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摘要：
Motivated by some recent results, in this paper we derive several half-discrete Hilbert-type inequalities with a homogeneous kernel involving some differential operators. The main results are proved for the case of non-conjugate parameters. After reduction to the conjugate case, we show that the constants appearing on the right-hand sides of these inequalities are the best possible.
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