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Some new scales of refined Hardy type inequalities via functions related to superquadracity
University of Haifa.
Luleå University of Technology, Department of Engineering Sciences and Mathematics, Mathematical Science.
2013 (English)In: Mathematical Inequalities & Applications, ISSN 1331-4343, E-ISSN 1848-9966, Vol. 16, no 3, p. 679-695Article in journal (Refereed) Published
Abstract [en]

For the Hardy type inequalities the "breaking point" (=the point where the inequality reverses) is p = 1. Recently, J. Oguntoase and L. E. Persson proved a refined Hardy type inequality with a breaking point at p = 2. In this paper we prove a new scale of refined Hardy type inequality which can have a breaking point at any p ≥ 2. The technique is to first make some further investigations for superquadratic and superterzatic functions of independent interest, among which, a new Jensen type inequality is proved

Place, publisher, year, edition, pages
2013. Vol. 16, no 3, p. 679-695
National Category
Mathematical Analysis
Research subject
Mathematics
Identifiers
URN: urn:nbn:se:ltu:diva-6449DOI: 10.7153/mia-16-51Local ID: 4ab40a66-0c57-42d0-a42c-201de5f617b9OAI: oai:DiVA.org:ltu-6449DiVA: diva2:979334
Note
Validerad; 2013; 20130930 (ysko)Available from: 2016-09-29 Created: 2016-09-29 Last updated: 2017-11-24Bibliographically approved

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