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Some new sharp limit Hardy-type  inequalities via convexity
Karlstad University, Faculty of Health, Science and Technology (starting 2013), Department of Mathematics and Computer Science.
Luleå tekniska universitet.
2014 (English)In: Journal of inequalities and applications (Print), ISSN 1025-5834, E-ISSN 1029-242X, no 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
Springer, 2014. no 6
Keyword [en]
integral inequalities, Hardy-type inequalities, limit cases, sharp constants, convexity
National Category
Mathematics
Research subject
Mathematics
Identifiers
URN: urn:nbn:se:kau:diva-32225DOI: 10.1186/1029-242X-2014-6ISI: 000330699400006OAI: oai:DiVA.org:kau-32225DiVA: diva2:720550
Available from: 2014-05-30 Created: 2014-05-30 Last updated: 2016-08-17Bibliographically approved

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Barza, Sorina
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