Bellman–Steffensen type inequalities

In this paper some Bellman–Steffensen type inequalities are generalized for positive measures. Using sublinearity of a class of convex functions and Jensen’s inequality, nonnormalized versions of Steffensen’s inequality are obtained. Further, linear functionals, from obtained Bellman–Steffensen type...

Descripción completa

Detalles Bibliográficos
Autores principales: Jakšetić, Julije, Pečarić, Josip, Smoljak Kalamir, Ksenija
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Springer International Publishing 2018
Materias:
Research
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC6208619/
https://www.ncbi.nlm.nih.gov/pubmed/30839733
http://dx.doi.org/10.1186/s13660-018-1882-9
_version_ 1783366736436789248
author Jakšetić, Julije
Pečarić, Josip
Smoljak Kalamir, Ksenija
author_facet Jakšetić, Julije
Pečarić, Josip
Smoljak Kalamir, Ksenija
author_sort Jakšetić, Julije
collection PubMed
description In this paper some Bellman–Steffensen type inequalities are generalized for positive measures. Using sublinearity of a class of convex functions and Jensen’s inequality, nonnormalized versions of Steffensen’s inequality are obtained. Further, linear functionals, from obtained Bellman–Steffensen type inequalities, are produced and their action on families of exponentially convex functions is studied.
format Online
Article
Text
id pubmed-6208619
institution National Center for Biotechnology Information
language English
publishDate 2018
publisher Springer International Publishing
record_format MEDLINE/PubMed
spelling pubmed-62086192018-11-09 Bellman–Steffensen type inequalities Jakšetić, Julije Pečarić, Josip Smoljak Kalamir, Ksenija J Inequal Appl Research In this paper some Bellman–Steffensen type inequalities are generalized for positive measures. Using sublinearity of a class of convex functions and Jensen’s inequality, nonnormalized versions of Steffensen’s inequality are obtained. Further, linear functionals, from obtained Bellman–Steffensen type inequalities, are produced and their action on families of exponentially convex functions is studied. Springer International Publishing 2018-10-22 2018 /pmc/articles/PMC6208619/ /pubmed/30839733 http://dx.doi.org/10.1186/s13660-018-1882-9 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
Jakšetić, Julije
Pečarić, Josip
Smoljak Kalamir, Ksenija
Bellman–Steffensen type inequalities
title Bellman–Steffensen type inequalities
title_full Bellman–Steffensen type inequalities
title_fullStr Bellman–Steffensen type inequalities
title_full_unstemmed Bellman–Steffensen type inequalities
title_short Bellman–Steffensen type inequalities
title_sort bellman–steffensen type inequalities
topic Research
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC6208619/
https://www.ncbi.nlm.nih.gov/pubmed/30839733
http://dx.doi.org/10.1186/s13660-018-1882-9
work_keys_str_mv AT jakseticjulije bellmansteffensentypeinequalities
AT pecaricjosip bellmansteffensentypeinequalities
AT smoljakkalamirksenija bellmansteffensentypeinequalities

Ejemplares similares