Some new sharp limit Hardy-type inequalities via convexity

Document identifier: oai:DiVA.org:ltu-7642
Access full text here:10.1186/1029-242X-2014-6
Keyword: Natural Sciences, Mathematics, Mathematical Analysis, Naturvetenskap, Matematik, Matematisk analys, Integral inequalities, Hardy-type inequalities, Limit cases, Sharp constants, Convexity
Publication year: 2014
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.

Authors

Sorina Barza

Karlstads Universitet
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Lars-Erik Persson

Luleå tekniska universitet; Matematiska vetenskaper
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Natasha Samko

Luleå tekniska universitet; Matematiska vetenskaper
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