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Some new sharp limit Hardy-type inequalities via convexity
Karlstads Universitet.
Luleå University of Technology, Department of Engineering Sciences and Mathematics, Mathematical Science.
Luleå University of Technology, Department of Engineering Sciences and Mathematics, Mathematical Science.
2014 (English)In: Journal of inequalities and applications (Print), ISSN 1025-5834, E-ISSN 1029-242X, Vol. 2014, article id 6Article in journal (Refereed) Published
Abstract [en]

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.

Place, publisher, year, edition, pages
2014. Vol. 2014, article id 6
Keyword [en]
Mathematics
Keyword [sv]
integral inequalities, Hardy-type inequalities, limit cases, sharp constants, convexity, Matematik
National Category
Mathematical Analysis
Research subject
Mathematics
Identifiers
URN: urn:nbn:se:ltu:diva-7642DOI: 10.1186/1029-242X-2014-6Local ID: 60b65413-90f1-4653-bcd7-7335cc251d8bOAI: oai:DiVA.org:ltu-7642DiVA: diva2:980532
Note
Validerad; 2014; 20140307 (johsod)Available from: 2016-09-29 Created: 2016-09-29 Last updated: 2017-11-24Bibliographically approved

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