HILBERT-TYPE INEQUALITIES INVOLVING DIFFERENTIAL OPERATORS, THE BEST CONSTANTS, AND APPLICATIONS

被引：58

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：

MATHEMATICAL INEQUALITIES & APPLICATIONS | 2015年 / 18卷 / 01期

关键词：

Hilbert-type inequality; Hardy inequality; differential operator; homogeneous function; Gamma function;

D O I：

10.7153/mia-18-07

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Motivated by some recent results, in this article we derive several Hilbert-type inequalities with a differential operator, regarding a general homogeneous kernel. Moreover, we show that the constants appearing on the right-hand sides of these inequalities are the best possible. The general results are then applied to some particular examples of homogeneous kernels and compared with previously known from the literature.

引用

页码：111 / 124

页数：14

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