Hermite-Hadamard type inequalities for the generalized k-fractional integral operators

We firstly give a modification of the known Hermite-Hadamard type inequalities for the generalized k-fractional integral operators of a function with respect to another function. We secondly establish several Hermite-Hadamard type inequalities for the generalized k-fractional integral operators of a...

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Detalles Bibliográficos
Autores principales: Set, Erhan, Choi, Junesang, Gözpinar, Abdurrahman
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Springer International Publishing 2017
Materias:
Research
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC5583383/
https://www.ncbi.nlm.nih.gov/pubmed/28943736
http://dx.doi.org/10.1186/s13660-017-1476-y
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author Set, Erhan
Choi, Junesang
Gözpinar, Abdurrahman
author_facet Set, Erhan
Choi, Junesang
Gözpinar, Abdurrahman
author_sort Set, Erhan
collection PubMed
description We firstly give a modification of the known Hermite-Hadamard type inequalities for the generalized k-fractional integral operators of a function with respect to another function. We secondly establish several Hermite-Hadamard type inequalities for the generalized k-fractional integral operators of a function with respect to another function. The results presented here, being very general, are pointed out to be specialized to yield some known results. Relevant connections of the various results presented here with those involving relatively simple fractional integral operators are also indicated.
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spelling pubmed-55833832017-09-20 Hermite-Hadamard type inequalities for the generalized k-fractional integral operators Set, Erhan Choi, Junesang Gözpinar, Abdurrahman J Inequal Appl Research We firstly give a modification of the known Hermite-Hadamard type inequalities for the generalized k-fractional integral operators of a function with respect to another function. We secondly establish several Hermite-Hadamard type inequalities for the generalized k-fractional integral operators of a function with respect to another function. The results presented here, being very general, are pointed out to be specialized to yield some known results. Relevant connections of the various results presented here with those involving relatively simple fractional integral operators are also indicated. Springer International Publishing 2017-09-04 2017 /pmc/articles/PMC5583383/ /pubmed/28943736 http://dx.doi.org/10.1186/s13660-017-1476-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
Set, Erhan
Choi, Junesang
Gözpinar, Abdurrahman
Hermite-Hadamard type inequalities for the generalized k-fractional integral operators
title Hermite-Hadamard type inequalities for the generalized k-fractional integral operators
title_full Hermite-Hadamard type inequalities for the generalized k-fractional integral operators
title_fullStr Hermite-Hadamard type inequalities for the generalized k-fractional integral operators
title_full_unstemmed Hermite-Hadamard type inequalities for the generalized k-fractional integral operators
title_short Hermite-Hadamard type inequalities for the generalized k-fractional integral operators
title_sort hermite-hadamard type inequalities for the generalized k-fractional integral operators
topic Research
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC5583383/
https://www.ncbi.nlm.nih.gov/pubmed/28943736
http://dx.doi.org/10.1186/s13660-017-1476-y
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