Some new generalisations of inequalities of Hardy and Levin-Cochran-Lee

被引：21

作者：

Cizmesija, A

Pecaric, J

机构：

[1] Univ Zagreb, Dept Math, Zagreb 10000, Croatia

[2] Univ Adelaide, Dept Appl Math, Adelaide, SA 5005, Australia

来源：

BULLETIN OF THE AUSTRALIAN MATHEMATICAL SOCIETY | 2001年 / 63卷 / 01期

关键词：

D O I：

10.1017/S000497270001916X

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper finite versions of Hardy's discrete, Hardy's integral and the Levin-Cochran-Lee inequalities will be considered and some new generalisations of these inequalities will be derived. Moreover, it will be shown that the constant factors involved in the right-hand sides of the integral results obtained are the best possible.

引用

页码：105 / 113

页数：9

共 9 条

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[5] INEQUALITIES RELATED TO HARDY AND HEINIG
COCHRAN, JA
LEE, CS
[J]. MATHEMATICAL PROCEEDINGS OF THE CAMBRIDGE PHILOSOPHICAL SOCIETY, 1984, 96 (JUL) : 1 - 7
[6] Hardy G. H., 1967, INEQUALITIES
[7] INEQUALITIES RELATED TO THOSE OF HARDY AND OF COCHRAN AND LEE
LOVE, ER
[J]. MATHEMATICAL PROCEEDINGS OF THE CAMBRIDGE PHILOSOPHICAL SOCIETY, 1986, 99 : 395 - 408
[8] Mitrinovic DS, 1991, INEQUALITIES INVOLVI
[9] MOND B, 1996, AUSTR MATH SOC GAZET, V23, P67

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