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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:
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
Descripción
Sumario: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.