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Rearrangements and Jensen type inequalities related to convexity, superquadracity, strong convexity and 1-quasiconvexity
University of Haifa, ISR.
Karlstad University, Faculty of Health, Science and Technology (starting 2013), Department of Mathematics and Computer Science (from 2013).ORCID iD: 0000-0002-5914-3247
2020 (English)In: Journal of Mathematical Inequalities, ISSN 1846-579X, E-ISSN 1848-9575, Vol. 14, no 3, p. 641-659Article in journal (Refereed) Published
Abstract [en]

In this paper we derive and discuss some newtheorems related to all rearrangementsof a given set inRn, denoted(x)and use the results to prove some new Jensen type inequalitiesfor convex, superquadratic, strongly convex and 1-quasiconvex functions.

Place, publisher, year, edition, pages
Element , 2020. Vol. 14, no 3, p. 641-659
Keywords [en]
Inequalities, Jensen’s inequality, rearrangements, circular rearrangements, convexity, superquadracity, strongconvexity, 1-quasiconvexity
National Category
Mathematics
Research subject
Mathematics
Identifiers
URN: urn:nbn:se:kau:diva-80565DOI: 10.7153/jmi-2020-14-41ISI: 000571491100003Scopus ID: 2-s2.0-85091352721OAI: oai:DiVA.org:kau-80565DiVA, id: diva2:1472032
Available from: 2020-09-30 Created: 2020-09-30 Last updated: 2021-12-10Bibliographically approved

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Persson, Lars-Erik

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