Some new sharp limit Hardy-type inequalities via convexity
2014 (English)In: Journal of inequalities and applications (Print), ISSN 1025-5834, E-ISSN 1029-242X, no 6Article in journal (Refereed) Published
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
integral inequalities, Hardy-type inequalities, limit cases, sharp constants, convexity
Research subject Mathematics
IdentifiersURN: urn:nbn:se:kau:diva-32225DOI: 10.1186/1029-242X-2014-6ISI: 000330699400006OAI: oai:DiVA.org:kau-32225DiVA: diva2:720550