Discussion of some inequalities via fractional integrals

Discussion of some inequalities via fractional integrals

Abstract 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 re...

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Bibliographic Details
Main Authors: Mokhtar Kirane, Bessem Samet
Format: Article
Language:English
Published: SpringerOpen 2018-01-01
Series:Journal of Inequalities and Applications
Subjects:
inequalities
fractional integrals
Online Access:http://link.springer.com/article/10.1186/s13660-017-1609-3
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spelling doaj-1b42b7292fbd4677b18c86df734a8a2f2020-11-25T02:44:16ZengSpringerOpenJournal of Inequalities and Applications1029-242X2018-01-012018111010.1186/s13660-017-1609-3Discussion of some inequalities via fractional integralsMokhtar Kirane0Bessem Samet1LaSIE, Faculté des Sciences et Technologies, Universié de La RochelleDepartment of Mathematics, College of Science, King Saud UniversityAbstract 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.http://link.springer.com/article/10.1186/s13660-017-1609-3inequalitiesfractional integrals
collection DOAJ
language English
format Article
sources DOAJ
author Mokhtar Kirane
Bessem Samet
spellingShingle Mokhtar Kirane
Bessem Samet
Discussion of some inequalities via fractional integrals
Journal of Inequalities and Applications
inequalities
fractional integrals
author_facet Mokhtar Kirane
Bessem Samet
author_sort Mokhtar Kirane
title Discussion of some inequalities via fractional integrals
title_short 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_sort discussion of some inequalities via fractional integrals
publisher SpringerOpen
series Journal of Inequalities and Applications
issn 1029-242X
publishDate 2018-01-01
description Abstract 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.
topic inequalities
fractional integrals
url http://link.springer.com/article/10.1186/s13660-017-1609-3
work_keys_str_mv AT mokhtarkirane discussionofsomeinequalitiesviafractionalintegrals
AT bessemsamet discussionofsomeinequalitiesviafractionalintegrals
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