Discussion of some inequalities via fractional integrals

Recently, many generalizations and extensions of well-known inequalities were obtained via different kinds of fractional integrals. In this paper, we show that most of those results are particular cases of (or equivalent to) existing inequalities from the literature. As consequence, such results are...

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Detalles Bibliográficos
Autores principales: Kirane, Mokhtar, Samet, Bessem
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Springer International Publishing 2018
Materias:
Research
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC5766735/
https://www.ncbi.nlm.nih.gov/pubmed/29375236
http://dx.doi.org/10.1186/s13660-017-1609-3
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author Kirane, Mokhtar
Samet, Bessem
author_facet Kirane, Mokhtar
Samet, Bessem
author_sort Kirane, Mokhtar
collection PubMed
description Recently, many generalizations and extensions of well-known inequalities were obtained via different kinds of fractional integrals. In this paper, we show that most of those results are particular cases of (or equivalent to) existing inequalities from the literature. As consequence, such results are not real generalizations.
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spelling pubmed-57667352018-01-25 Discussion of some inequalities via fractional integrals Kirane, Mokhtar Samet, Bessem J Inequal Appl Research Recently, many generalizations and extensions of well-known inequalities were obtained via different kinds of fractional integrals. In this paper, we show that most of those results are particular cases of (or equivalent to) existing inequalities from the literature. As consequence, such results are not real generalizations. Springer International Publishing 2018-01-12 2018 /pmc/articles/PMC5766735/ /pubmed/29375236 http://dx.doi.org/10.1186/s13660-017-1609-3 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
Kirane, Mokhtar
Samet, Bessem
Discussion of some inequalities via fractional integrals
title Discussion of some inequalities via fractional integrals
title_full Discussion of some inequalities via fractional integrals
title_fullStr Discussion of some inequalities via fractional integrals
title_full_unstemmed Discussion of some inequalities via fractional integrals
title_short Discussion of some inequalities via fractional integrals
title_sort discussion of some inequalities via fractional integrals
topic Research
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC5766735/
https://www.ncbi.nlm.nih.gov/pubmed/29375236
http://dx.doi.org/10.1186/s13660-017-1609-3
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AT sametbessem discussionofsomeinequalitiesviafractionalintegrals

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