Inequalities for α-fractional differentiable functions

In this article, we present an identity and several Hermite-Hadamard type inequalities for conformable fractional integrals. As applications, we establish some inequalities for certain special means of two positive real numbers and give the error estimations for the trapezoidal formula.

Detalles Bibliográficos
Autores principales: Chu, Yu-Ming, Adil Khan, Muhammad, Ali, Tahir, Silvestru Dragomir, Sever
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Springer International Publishing 2017
Materias:
Research
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC5409930/
https://www.ncbi.nlm.nih.gov/pubmed/28515621
http://dx.doi.org/10.1186/s13660-017-1371-6
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author Chu, Yu-Ming
Adil Khan, Muhammad
Ali, Tahir
Silvestru Dragomir, Sever
author_facet Chu, Yu-Ming
Adil Khan, Muhammad
Ali, Tahir
Silvestru Dragomir, Sever
author_sort Chu, Yu-Ming
collection PubMed
description In this article, we present an identity and several Hermite-Hadamard type inequalities for conformable fractional integrals. As applications, we establish some inequalities for certain special means of two positive real numbers and give the error estimations for the trapezoidal formula.
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spelling pubmed-54099302017-05-15 Inequalities for α-fractional differentiable functions Chu, Yu-Ming Adil Khan, Muhammad Ali, Tahir Silvestru Dragomir, Sever J Inequal Appl Research In this article, we present an identity and several Hermite-Hadamard type inequalities for conformable fractional integrals. As applications, we establish some inequalities for certain special means of two positive real numbers and give the error estimations for the trapezoidal formula. Springer International Publishing 2017-04-28 2017 /pmc/articles/PMC5409930/ /pubmed/28515621 http://dx.doi.org/10.1186/s13660-017-1371-6 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
Chu, Yu-Ming
Adil Khan, Muhammad
Ali, Tahir
Silvestru Dragomir, Sever
Inequalities for α-fractional differentiable functions
title Inequalities for α-fractional differentiable functions
title_full Inequalities for α-fractional differentiable functions
title_fullStr Inequalities for α-fractional differentiable functions
title_full_unstemmed Inequalities for α-fractional differentiable functions
title_short Inequalities for α-fractional differentiable functions
title_sort inequalities for α-fractional differentiable functions
topic Research
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC5409930/
https://www.ncbi.nlm.nih.gov/pubmed/28515621
http://dx.doi.org/10.1186/s13660-017-1371-6
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AT adilkhanmuhammad inequalitiesforafractionaldifferentiablefunctions
AT alitahir inequalitiesforafractionaldifferentiablefunctions
AT silvestrudragomirsever inequalitiesforafractionaldifferentiablefunctions

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