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Some new scales of refined Hardy type inequalities via functions related to superquadracity
University of Haifa.
Luleå tekniska universitet, Institutionen för teknikvetenskap och matematik, Matematiska vetenskaper.
2013 (engelsk)Inngår i: Mathematical Inequalities & Applications, ISSN 1331-4343, E-ISSN 1848-9966, Vol. 16, nr 3, s. 679-695Artikkel i tidsskrift (Fagfellevurdert) 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

sted, utgiver, år, opplag, sider
2013. Vol. 16, nr 3, s. 679-695
HSV kategori
Forskningsprogram
Matematik
Identifikatorer
URN: urn:nbn:se:ltu:diva-6449DOI: 10.7153/mia-16-51ISI: 000328878400006Scopus ID: 2-s2.0-84884275913Lokal ID: 4ab40a66-0c57-42d0-a42c-201de5f617b9OAI: oai:DiVA.org:ltu-6449DiVA, id: diva2:979334
Merknad
Validerad; 2013; 20130930 (ysko)Tilgjengelig fra: 2016-09-29 Laget: 2016-09-29 Sist oppdatert: 2018-07-10bibliografisk kontrollert

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Forlagets fulltekstScopushttp://mia.ele-math.com/16-51/Some-new-scales-of-refined-Hardy-type-inequalities-via-functions-related-to-superquadracity

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