ON HARDY q-INEQUALITIES

被引：16

作者：

Maligranda, Lech ^{[1
]}

Oinarov, Ryskul ^{[2
]}

Persson, Lars-Erik ^{[1
,3
]}

机构：

[1] Lulea Univ Technol, Dept Engn Sci & Math, SE-97187 Lulea, Sweden

[2] LN Gumilyev Eurasian Natl Univ, Astana 010008, Kazakhstan

[3] Narvik Univ Coll, N-8505 Narvik, Norway

来源：

CZECHOSLOVAK MATHEMATICAL JOURNAL | 2014年 / 64卷 / 03期

关键词：

inequality; Hardy type inequality; Hardy operator; Riemann-Liouville operator; q-analysis; sharp constant; discrete Hardy type inequality; Q-INTEGRAL INEQUALITIES; WEIGHTED MEAN MATRICES; SEQUENCES; CALCULUS; L(P);

D O I：

10.1007/s10587-014-0125-6

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Some q-analysis variants of Hardy type inequalities of the form integral(b)(0) (x(alpha-1) integral(x)(0) t(-alpha) f(t) d(q)t)(p) d(q)x <= C integral(b)(0) f(p) (t) d(q)t with sharp constant C are proved and discussed. A similar result with the Riemann-Liouville operator involved is also proved. Finally, it is pointed out that by using these techniques we can also obtain some new discrete Hardy and Copson type inequalities in the classical case.

引用

页码：659 / 682

页数：24

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