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On a new class of Hardy-type inequalities
LuleƄ University of Technology, Department of Engineering Sciences and Mathematics, Mathematical Science.
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2012 (English)In: Journal of inequalities and applications (Print), ISSN 1025-5834, E-ISSN 1029-242X, Vol. 2012, no 259Article in journal (Refereed) Published
Abstract [en]

In this paper, we generalize a Hardy-type inequality to the class of arbitrary non-negative functions bounded from below and above with a convex function multiplied with positive real constants. This enables us to obtain new generalizations of the classical integral Hardy's, Hardy-Hilbert's, Hardy-Littlewood-P\'{o}lya's and P\'{o}lya-Knopp's inequalities as well as of Godunova's and of some recently obtained inequalities in multidimensional settings. Finally, we apply a similar idea to functions bounded from below and above with a superquadratic function.

Place, publisher, year, edition, pages
2012. Vol. 2012, no 259
National Category
Mathematical Analysis
Research subject
Mathematics
Identifiers
URN: urn:nbn:se:ltu:diva-5473DOI: 10.1186/1029-242X-2012-259ISI: 000317843500015Scopus ID: 2-s2.0-84902585934Local ID: 3967cbde-f9cb-4c35-9b1a-10b7753fd16fOAI: oai:DiVA.org:ltu-5473DiVA, id: diva2:978347
Note
Validerad; 2013; 20130130 (larserik)Available from: 2016-09-29 Created: 2016-09-29 Last updated: 2018-07-10Bibliographically approved

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