Certain Hermite-Hadamard type inequalities via generalized k-fractional integrals

Some Hermite-Hadamard type inequalities for generalized k-fractional integrals (which are also named [Formula: see text] -Riemann-Liouville fractional integrals) are obtained for a fractional integral, and an important identity is established. Also, by using the obtained identity, we get a Hermite-H...

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Detalles Bibliográficos
Autores principales: Agarwal, Praveen, Jleli, Mohamed, Tomar, Muharrem
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Springer International Publishing 2017
Materias:
Research
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC5337245/
https://www.ncbi.nlm.nih.gov/pubmed/28316453
http://dx.doi.org/10.1186/s13660-017-1318-y
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author Agarwal, Praveen
Jleli, Mohamed
Tomar, Muharrem
author_facet Agarwal, Praveen
Jleli, Mohamed
Tomar, Muharrem
author_sort Agarwal, Praveen
collection PubMed
description Some Hermite-Hadamard type inequalities for generalized k-fractional integrals (which are also named [Formula: see text] -Riemann-Liouville fractional integrals) are obtained for a fractional integral, and an important identity is established. Also, by using the obtained identity, we get a Hermite-Hadamard type inequality.
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spelling pubmed-53372452017-03-17 Certain Hermite-Hadamard type inequalities via generalized k-fractional integrals Agarwal, Praveen Jleli, Mohamed Tomar, Muharrem J Inequal Appl Research Some Hermite-Hadamard type inequalities for generalized k-fractional integrals (which are also named [Formula: see text] -Riemann-Liouville fractional integrals) are obtained for a fractional integral, and an important identity is established. Also, by using the obtained identity, we get a Hermite-Hadamard type inequality. Springer International Publishing 2017-03-04 2017 /pmc/articles/PMC5337245/ /pubmed/28316453 http://dx.doi.org/10.1186/s13660-017-1318-y 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
Agarwal, Praveen
Jleli, Mohamed
Tomar, Muharrem
Certain Hermite-Hadamard type inequalities via generalized k-fractional integrals
title Certain Hermite-Hadamard type inequalities via generalized k-fractional integrals
title_full Certain Hermite-Hadamard type inequalities via generalized k-fractional integrals
title_fullStr Certain Hermite-Hadamard type inequalities via generalized k-fractional integrals
title_full_unstemmed Certain Hermite-Hadamard type inequalities via generalized k-fractional integrals
title_short Certain Hermite-Hadamard type inequalities via generalized k-fractional integrals
title_sort certain hermite-hadamard type inequalities via generalized k-fractional integrals
topic Research
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC5337245/
https://www.ncbi.nlm.nih.gov/pubmed/28316453
http://dx.doi.org/10.1186/s13660-017-1318-y
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