Hadamard and Fejér–Hadamard inequalities for extended generalized fractional integrals involving special functions

In this paper we prove the Hadamard and the Fejér–Hadamard inequalities for the extended generalized fractional integral operator involving the extended generalized Mittag-Leffler function. The extended generalized Mittag-Leffler function includes many known special functions. We have several such i...

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Detalles Bibliográficos
Autores principales: Kang, Shin Min, Farid, Ghulam, Nazeer, Waqas, Tariq, Bushra
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Springer International Publishing 2018
Materias:
Research
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC5960012/
https://www.ncbi.nlm.nih.gov/pubmed/29805239
http://dx.doi.org/10.1186/s13660-018-1701-3
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author Kang, Shin Min
Farid, Ghulam
Nazeer, Waqas
Tariq, Bushra
author_facet Kang, Shin Min
Farid, Ghulam
Nazeer, Waqas
Tariq, Bushra
author_sort Kang, Shin Min
collection PubMed
description In this paper we prove the Hadamard and the Fejér–Hadamard inequalities for the extended generalized fractional integral operator involving the extended generalized Mittag-Leffler function. The extended generalized Mittag-Leffler function includes many known special functions. We have several such inequalities corresponding to special cases of the extended generalized Mittag-Leffler function. Also there we note the known results that can be obtained.
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spelling pubmed-59600122018-05-25 Hadamard and Fejér–Hadamard inequalities for extended generalized fractional integrals involving special functions Kang, Shin Min Farid, Ghulam Nazeer, Waqas Tariq, Bushra J Inequal Appl Research In this paper we prove the Hadamard and the Fejér–Hadamard inequalities for the extended generalized fractional integral operator involving the extended generalized Mittag-Leffler function. The extended generalized Mittag-Leffler function includes many known special functions. We have several such inequalities corresponding to special cases of the extended generalized Mittag-Leffler function. Also there we note the known results that can be obtained. Springer International Publishing 2018-05-18 2018 /pmc/articles/PMC5960012/ /pubmed/29805239 http://dx.doi.org/10.1186/s13660-018-1701-3 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
Kang, Shin Min
Farid, Ghulam
Nazeer, Waqas
Tariq, Bushra
Hadamard and Fejér–Hadamard inequalities for extended generalized fractional integrals involving special functions
title Hadamard and Fejér–Hadamard inequalities for extended generalized fractional integrals involving special functions
title_full Hadamard and Fejér–Hadamard inequalities for extended generalized fractional integrals involving special functions
title_fullStr Hadamard and Fejér–Hadamard inequalities for extended generalized fractional integrals involving special functions
title_full_unstemmed Hadamard and Fejér–Hadamard inequalities for extended generalized fractional integrals involving special functions
title_short Hadamard and Fejér–Hadamard inequalities for extended generalized fractional integrals involving special functions
title_sort hadamard and fejér–hadamard inequalities for extended generalized fractional integrals involving special functions
topic Research
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC5960012/
https://www.ncbi.nlm.nih.gov/pubmed/29805239
http://dx.doi.org/10.1186/s13660-018-1701-3
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