An equivalent condition to the Jensen inequality for the generalized Sugeno integral

For the classical Jensen inequality of convex functions, i.e., [Formula: see text] an equivalent condition is proved in the framework of the generalized Sugeno integral. Also, the necessary and sufficient conditions for the validity of the discrete form of the Jensen inequality for the generalized S...

Descripción completa

Detalles Bibliográficos
Autores principales: Jaddi, Mohsen, Ebadian, Ali, de la Sen, Manuel, Abbaszadeh, Sadegh
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Springer International Publishing 2017
Materias:
Research
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC5686291/
https://www.ncbi.nlm.nih.gov/pubmed/29200794
http://dx.doi.org/10.1186/s13660-017-1561-2
_version_ 1783278764267929600
author Jaddi, Mohsen
Ebadian, Ali
de la Sen, Manuel
Abbaszadeh, Sadegh
author_facet Jaddi, Mohsen
Ebadian, Ali
de la Sen, Manuel
Abbaszadeh, Sadegh
author_sort Jaddi, Mohsen
collection PubMed
description For the classical Jensen inequality of convex functions, i.e., [Formula: see text] an equivalent condition is proved in the framework of the generalized Sugeno integral. Also, the necessary and sufficient conditions for the validity of the discrete form of the Jensen inequality for the generalized Sugeno integral are given.
format Online
Article
Text
id pubmed-5686291
institution National Center for Biotechnology Information
language English
publishDate 2017
publisher Springer International Publishing
record_format MEDLINE/PubMed
spelling pubmed-56862912017-11-29 An equivalent condition to the Jensen inequality for the generalized Sugeno integral Jaddi, Mohsen Ebadian, Ali de la Sen, Manuel Abbaszadeh, Sadegh J Inequal Appl Research For the classical Jensen inequality of convex functions, i.e., [Formula: see text] an equivalent condition is proved in the framework of the generalized Sugeno integral. Also, the necessary and sufficient conditions for the validity of the discrete form of the Jensen inequality for the generalized Sugeno integral are given. Springer International Publishing 2017-11-14 2017 /pmc/articles/PMC5686291/ /pubmed/29200794 http://dx.doi.org/10.1186/s13660-017-1561-2 Text en © The Author(s) 2017 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
Jaddi, Mohsen
Ebadian, Ali
de la Sen, Manuel
Abbaszadeh, Sadegh
An equivalent condition to the Jensen inequality for the generalized Sugeno integral
title An equivalent condition to the Jensen inequality for the generalized Sugeno integral
title_full An equivalent condition to the Jensen inequality for the generalized Sugeno integral
title_fullStr An equivalent condition to the Jensen inequality for the generalized Sugeno integral
title_full_unstemmed An equivalent condition to the Jensen inequality for the generalized Sugeno integral
title_short An equivalent condition to the Jensen inequality for the generalized Sugeno integral
title_sort equivalent condition to the jensen inequality for the generalized sugeno integral
topic Research
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC5686291/
https://www.ncbi.nlm.nih.gov/pubmed/29200794
http://dx.doi.org/10.1186/s13660-017-1561-2
work_keys_str_mv AT jaddimohsen anequivalentconditiontothejenseninequalityforthegeneralizedsugenointegral
AT ebadianali anequivalentconditiontothejenseninequalityforthegeneralizedsugenointegral
AT delasenmanuel anequivalentconditiontothejenseninequalityforthegeneralizedsugenointegral
AT abbaszadehsadegh anequivalentconditiontothejenseninequalityforthegeneralizedsugenointegral
AT jaddimohsen equivalentconditiontothejenseninequalityforthegeneralizedsugenointegral
AT ebadianali equivalentconditiontothejenseninequalityforthegeneralizedsugenointegral
AT delasenmanuel equivalentconditiontothejenseninequalityforthegeneralizedsugenointegral
AT abbaszadehsadegh equivalentconditiontothejenseninequalityforthegeneralizedsugenointegral

Ejemplares similares