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.
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收藏
页数：12
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