On the equivalence between some multidimensional Hardy-type inequalities
2014 (English)In: Banach Journal of Mathematical Analysis, ISSN 1735-8787, Vol. 8, no 1Article in journal (Refereed) Published
We prove and discuss some power weighted Hardy-type inequalities on finite and infinite sets. In particular, it is proved that these inequalities are equivalent because they can all be reduced to an elementary inequality, which can be proved by Jensen inequality. Moreover, the corresponding limit (Pólya-Knopp type) inequalities and equivalence theorem are proved. All constants in these inequalities are sharp.
Place, publisher, year, edition, pages
2014. Vol. 8, no 1
Research subject Mathematics
IdentifiersURN: urn:nbn:se:ltu:diva-6871Local ID: 5321d334-cb49-42fa-ac1b-a44fdaea585dOAI: oai:DiVA.org:ltu-6871DiVA: diva2:979757
Validerad; 2014; 20131104 (ysko)2016-09-292016-09-29Bibliographically approved