Some new sharp limit Hardy-type inequalities via convexity
Document identifier: oai:DiVA.org:ltu-7642
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10.1186/1029-242X-2014-6Keyword: Natural Sciences,
Mathematics,
Mathematical Analysis,
Naturvetenskap,
Matematik,
Matematisk analys,
Integral inequalities,
Hardy-type inequalities,
Limit cases,
Sharp constants,
ConvexityPublication year: 2014Abstract: Some new limit cases of Hardy-type inequalities are proved, discussed and compared. In particular, some new refinements of Bennett's inequalities are proved. Each of these refined inequalities contain two constants, and both constants are in fact sharp. The technique in the proofs is new and based on some convexity arguments of independent interest.
Authors
Sorina Barza
Karlstads Universitet
Other publications
>>
Lars-Erik Persson
Luleå tekniska universitet; Matematiska vetenskaper
Other publications
>>
Natasha Samko
Luleå tekniska universitet; Matematiska vetenskaper
Other publications
>>
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header:
identifier: oai:DiVA.org:ltu-7642
datestamp: 2021-04-19T12:21:24Z
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recordContentSource: ltu
recordCreationDate: 2016-09-29
identifier:
http://urn.kb.se/resolve?urn=urn:nbn:se:ltu:diva-7642
10.1186/1029-242X-2014-6
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60b65413-90f1-4653-bcd7-7335cc251d8b
titleInfo:
@attributes:
lang: eng
title: Some new sharp limit Hardy-type inequalities via convexity
abstract: Some new limit cases of Hardy-type inequalities are proved discussed and compared. In particular some new refinements of Bennett's inequalities are proved. Each of these refined inequalities contain two constants and both constants are in fact sharp. The technique in the proofs is new and based on some convexity arguments of independent interest.
subject:
@attributes:
lang: eng
authority: uka.se
topic:
Natural Sciences
Mathematics
Mathematical Analysis
@attributes:
lang: swe
authority: uka.se
topic:
Naturvetenskap
Matematik
Matematisk analys
@attributes:
lang: eng
topic: Mathematics
@attributes:
lang: swe
topic: integral inequalities
@attributes:
lang: swe
topic: Hardy-type inequalities
@attributes:
lang: swe
topic: limit cases
@attributes:
lang: swe
topic: sharp constants
@attributes:
lang: swe
topic: convexity
@attributes:
lang: swe
topic: Matematik
@attributes:
lang: swe
authority: ltu
topic: Matematik
genre: Research subject
@attributes:
lang: eng
authority: ltu
topic: Mathematics
genre: Research subject
language:
languageTerm: eng
genre:
publication/journal-article
ref
note:
Published
3
Validerad; 2014; 20140307 (johsod)
name:
@attributes:
type: personal
namePart:
Barza
Sorina
role:
roleTerm: aut
affiliation: Karlstads Universitet
@attributes:
type: personal
authority: ltu
namePart:
Persson
Lars-Erik
role:
roleTerm: aut
affiliation:
Luleå tekniska universitet
Matematiska vetenskaper
nameIdentifier: larserik
@attributes:
type: personal
authority: ltu
namePart:
Samko
Natasha
role:
roleTerm: aut
affiliation:
Luleå tekniska universitet
Matematiska vetenskaper
nameIdentifier:
natsam
0000-0002-8595-4326
originInfo:
dateIssued: 2014
relatedItem:
@attributes:
type: host
titleInfo:
title: Journal of inequalities and applications (Print)
identifier:
1025-5834
1029-242X
part:
detail:
@attributes:
type: volume
number: 2014
@attributes:
type: artNo
number: 6
physicalDescription:
form: print
typeOfResource: text