REFINED MULTIDIMENSIONAL HARDY-TYPE INEQUALITIES VIA SUPERQUADRACITY

被引：10
|
作者：
Oguntuase, J. A. [2 ]
Persson, L. -E. [1 ]
Essel, E. K. [3 ]
Popoola, B. A. [4 ]
机构：
[1] Lulea Univ Technol, Dept Math, SE-97187 Lulea, Sweden
[2] Univ Agr, Dept Math, Abeokuta, Ogun State, Nigeria
[3] Univ Cape Coast, Dept Math & Stat, Cape Coast, Ghana
[4] Fed Coll Educ, Dept Math & Stat, Abeokuta, Ogun State, Nigeria
来源：
BANACH JOURNAL OF MATHEMATICAL ANALYSIS | 2008年 / 2卷 / 02期
关键词：
Multidimensional Hardy-type inequalities; refined Hardy's inequalities; dual inequalities; superquadratic functions; subquadratic functions;
D O I：
10.15352/bjma/1240336299
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Some new refined multidimensional Hardy-type inequalities for p <= 2 and their duals are derived and discussed. Moreover, these inequalities hold in the reversed direction when 1 < p <= 2. The results obtained are based mainly on some new results for superquadratic and subquadratic functions. In particular, our results further extend the recent results in [J.A. Oguntuase and L.-E. Persson, Refinement of Hardy's inequalities via superquadratic and subquadratic functions, J. Math. Anal. Appl., 339 (2008), no. 2, 1305- 1312] to a multidimensional setting.
引用
收藏
页码：129 / 139
页数：11
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