Hermite–Hadamard type inequalities for fractional integrals via Green’s function

In the article, we establish the left Riemann–Liouville fractional Hermite–Hadamard type inequalities and the generalized Hermite–Hadamard type inequalities by using Green’s function and Jensen’s inequality, and present several new Hermite–Hadamard type inequalities for a class of convex as well as...

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Detalles Bibliográficos
Autores principales: Adil Khan, Muhammad, Iqbal, Arshad, Suleman, Muhammad, Chu, Yu-Ming
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Springer International Publishing 2018
Materias:
Research
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC6061761/
https://www.ncbi.nlm.nih.gov/pubmed/30137889
http://dx.doi.org/10.1186/s13660-018-1751-6
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author Adil Khan, Muhammad
Iqbal, Arshad
Suleman, Muhammad
Chu, Yu-Ming
author_facet Adil Khan, Muhammad
Iqbal, Arshad
Suleman, Muhammad
Chu, Yu-Ming
author_sort Adil Khan, Muhammad
collection PubMed
description In the article, we establish the left Riemann–Liouville fractional Hermite–Hadamard type inequalities and the generalized Hermite–Hadamard type inequalities by using Green’s function and Jensen’s inequality, and present several new Hermite–Hadamard type inequalities for a class of convex as well as monotone functions.
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spelling pubmed-60617612018-08-09 Hermite–Hadamard type inequalities for fractional integrals via Green’s function Adil Khan, Muhammad Iqbal, Arshad Suleman, Muhammad Chu, Yu-Ming J Inequal Appl Research In the article, we establish the left Riemann–Liouville fractional Hermite–Hadamard type inequalities and the generalized Hermite–Hadamard type inequalities by using Green’s function and Jensen’s inequality, and present several new Hermite–Hadamard type inequalities for a class of convex as well as monotone functions. Springer International Publishing 2018-07-04 2018 /pmc/articles/PMC6061761/ /pubmed/30137889 http://dx.doi.org/10.1186/s13660-018-1751-6 Text en © The Author(s) 2018 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
Adil Khan, Muhammad
Iqbal, Arshad
Suleman, Muhammad
Chu, Yu-Ming
Hermite–Hadamard type inequalities for fractional integrals via Green’s function
title Hermite–Hadamard type inequalities for fractional integrals via Green’s function
title_full Hermite–Hadamard type inequalities for fractional integrals via Green’s function
title_fullStr Hermite–Hadamard type inequalities for fractional integrals via Green’s function
title_full_unstemmed Hermite–Hadamard type inequalities for fractional integrals via Green’s function
title_short Hermite–Hadamard type inequalities for fractional integrals via Green’s function
title_sort hermite–hadamard type inequalities for fractional integrals via green’s function
topic Research
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC6061761/
https://www.ncbi.nlm.nih.gov/pubmed/30137889
http://dx.doi.org/10.1186/s13660-018-1751-6
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