Generalizations of Hardy's integral inequalities

This paper deals with some new generalizations of Hardy's integral inequalities. Some cases concerning whether the constant factors involved in these inequalities are best possible are discussed in some detail.

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Main Authors: Yang Bicheng, Lokenath Debnath
Format: Article
Language:English
Published: Wiley 1999-01-01
Series:International Journal of Mathematics and Mathematical Sciences
Subjects:
Online Access:http://dx.doi.org/10.1155/S0161171299225355
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author Yang Bicheng
Lokenath Debnath
author_facet Yang Bicheng
Lokenath Debnath
author_sort Yang Bicheng
collection DOAJ
description This paper deals with some new generalizations of Hardy's integral inequalities. Some cases concerning whether the constant factors involved in these inequalities are best possible are discussed in some detail.
format Article
id doaj-art-e9ce569783d4494182b443e88d0ba0e7
institution Kabale University
issn 0161-1712
1687-0425
language English
publishDate 1999-01-01
publisher Wiley
record_format Article
series International Journal of Mathematics and Mathematical Sciences
spelling doaj-art-e9ce569783d4494182b443e88d0ba0e72025-02-03T01:21:32ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04251999-01-0122353554210.1155/S0161171299225355Generalizations of Hardy's integral inequalitiesYang Bicheng0Lokenath Debnath1Department of Mathematics, Guangdong Education College, Guangdong, Guangzhou 510303, ChinaDepartment of Mathematics, University of Central Florida, Orlando 32816, Florida, USAThis paper deals with some new generalizations of Hardy's integral inequalities. Some cases concerning whether the constant factors involved in these inequalities are best possible are discussed in some detail.http://dx.doi.org/10.1155/S0161171299225355Hardy's integral inequalitiesweight functionbest possible constants.
spellingShingle Yang Bicheng
Lokenath Debnath
Generalizations of Hardy's integral inequalities
International Journal of Mathematics and Mathematical Sciences
Hardy's integral inequalities
weight function
best possible constants.
title Generalizations of Hardy's integral inequalities
title_full Generalizations of Hardy's integral inequalities
title_fullStr Generalizations of Hardy's integral inequalities
title_full_unstemmed Generalizations of Hardy's integral inequalities
title_short Generalizations of Hardy's integral inequalities
title_sort generalizations of hardy s integral inequalities
topic Hardy's integral inequalities
weight function
best possible constants.
url http://dx.doi.org/10.1155/S0161171299225355
work_keys_str_mv AT yangbicheng generalizationsofhardysintegralinequalities
AT lokenathdebnath generalizationsofhardysintegralinequalities