Jensen–Steffensen inequality for strongly convex functions

The Jensen inequality for convex functions holds under the assumption that all of the included weights are nonnegative. If we allow some of the weights to be negative, such an inequality is called the Jensen–Steffensen inequality for convex functions. In this paper we prove the Jensen–Steffensen ine...

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Autor principal: Klaričić Bakula, M.
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Springer International Publishing 2018
Materias:
Research
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC6244717/
https://www.ncbi.nlm.nih.gov/pubmed/30839851
http://dx.doi.org/10.1186/s13660-018-1897-2
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author Klaričić Bakula, M.
author_facet Klaričić Bakula, M.
author_sort Klaričić Bakula, M.
collection PubMed
description The Jensen inequality for convex functions holds under the assumption that all of the included weights are nonnegative. If we allow some of the weights to be negative, such an inequality is called the Jensen–Steffensen inequality for convex functions. In this paper we prove the Jensen–Steffensen inequality for strongly convex functions.
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spelling pubmed-62447172018-12-04 Jensen–Steffensen inequality for strongly convex functions Klaričić Bakula, M. J Inequal Appl Research The Jensen inequality for convex functions holds under the assumption that all of the included weights are nonnegative. If we allow some of the weights to be negative, such an inequality is called the Jensen–Steffensen inequality for convex functions. In this paper we prove the Jensen–Steffensen inequality for strongly convex functions. Springer International Publishing 2018-11-12 2018 /pmc/articles/PMC6244717/ /pubmed/30839851 http://dx.doi.org/10.1186/s13660-018-1897-2 Text en © The Author(s) 2018 Open Access This article is distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution, and reproduction in any medium, provided you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made.
spellingShingle Research
Klaričić Bakula, M.
Jensen–Steffensen inequality for strongly convex functions
title Jensen–Steffensen inequality for strongly convex functions
title_full Jensen–Steffensen inequality for strongly convex functions
title_fullStr Jensen–Steffensen inequality for strongly convex functions
title_full_unstemmed Jensen–Steffensen inequality for strongly convex functions
title_short Jensen–Steffensen inequality for strongly convex functions
title_sort jensen–steffensen inequality for strongly convex functions
topic Research
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC6244717/
https://www.ncbi.nlm.nih.gov/pubmed/30839851
http://dx.doi.org/10.1186/s13660-018-1897-2
work_keys_str_mv AT klaricicbakulam jensensteffenseninequalityforstronglyconvexfunctions

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