Half-discrete Hilbert-type inequalities involving differential operators

被引：0

作者：

Adiyasuren, Vandanjav ^{[1
]}

Batbold, Tserendorj ^{[2
]}

Krnic, Mario ^{[3
]}

机构：

[1] Natl Univ Mongolia, Dept Math Anal, Ulaanbaatar 14201, Mongolia

[2] Natl Univ Mongolia, Inst Math, Ulaanbaatar 14201, Mongolia

[3] Univ Zagreb, Fac Elect Engn & Comp, Zagreb 10000, Croatia

来源：

JOURNAL OF INEQUALITIES AND APPLICATIONS | 2014年

关键词：

Hilbert inequality; Hardy inequality; half-discrete inequality; differential operator; homogeneous function;

D O I：

10.1186/1029-242X-2014-83

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

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.

引用

页数：12

共 13 条

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Krnic, Mario
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