Some new fractional integral inequalities for exponentially m-convex functions via extended generalized Mittag-Leffler function

Some new fractional integral inequalities for exponentially m-convex functions via extended generalized Mittag-Leffler function

Abstract In the article, we establish some new general fractional integral inequalities for exponentially m-convex functions involving an extended Mittag-Leffler function, provide several kinds of fractional integral operator inequalities and give certain special cases for our obtained results.

Bibliographic Details
Main Authors: Saima Rashid, Farhat Safdar, Ahmet Ocak Akdemir, Muhammad Aslam Noor, Khalida Inayat Noor
Format: Article
Language:English
Published: SpringerOpen 2019-11-01
Series:Journal of Inequalities and Applications
Subjects:
Convex function
Exponentially convex function
m-convex function
Mittag-Leffler function
Generalized fractional integral operator
Hermite–Hadamard inequality
Online Access:http://link.springer.com/article/10.1186/s13660-019-2248-7
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spelling doaj-aa875af4db9b4698a732f1e5984e38ac2020-11-25T04:05:21ZengSpringerOpenJournal of Inequalities and Applications1029-242X2019-11-012019111710.1186/s13660-019-2248-7Some new fractional integral inequalities for exponentially m-convex functions via extended generalized Mittag-Leffler functionSaima Rashid0Farhat Safdar1Ahmet Ocak Akdemir2Muhammad Aslam Noor3Khalida Inayat Noor4Government College (GC) UniversitySardar Bahadur Khan Women’s UniversityDepartment of Mathematics, Faculty of Science and Letters, Ag̈rı İbrahim Çeçen UniversityDepartment of Mathematics, COMSATS University IslamabadDepartment of Mathematics, COMSATS University IslamabadAbstract In the article, we establish some new general fractional integral inequalities for exponentially m-convex functions involving an extended Mittag-Leffler function, provide several kinds of fractional integral operator inequalities and give certain special cases for our obtained results.http://link.springer.com/article/10.1186/s13660-019-2248-7Convex functionExponentially convex functionm-convex functionMittag-Leffler functionGeneralized fractional integral operatorHermite–Hadamard inequality
collection DOAJ
language English
format Article
sources DOAJ
author Saima Rashid
Farhat Safdar
Ahmet Ocak Akdemir
Muhammad Aslam Noor
Khalida Inayat Noor
spellingShingle Saima Rashid
Farhat Safdar
Ahmet Ocak Akdemir
Muhammad Aslam Noor
Khalida Inayat Noor
Some new fractional integral inequalities for exponentially m-convex functions via extended generalized Mittag-Leffler function
Journal of Inequalities and Applications
Convex function
Exponentially convex function
m-convex function
Mittag-Leffler function
Generalized fractional integral operator
Hermite–Hadamard inequality
author_facet Saima Rashid
Farhat Safdar
Ahmet Ocak Akdemir
Muhammad Aslam Noor
Khalida Inayat Noor
author_sort Saima Rashid
title Some new fractional integral inequalities for exponentially m-convex functions via extended generalized Mittag-Leffler function
title_short Some new fractional integral inequalities for exponentially m-convex functions via extended generalized Mittag-Leffler function
title_full Some new fractional integral inequalities for exponentially m-convex functions via extended generalized Mittag-Leffler function
title_fullStr Some new fractional integral inequalities for exponentially m-convex functions via extended generalized Mittag-Leffler function
title_full_unstemmed Some new fractional integral inequalities for exponentially m-convex functions via extended generalized Mittag-Leffler function
title_sort some new fractional integral inequalities for exponentially m-convex functions via extended generalized mittag-leffler function
publisher SpringerOpen
series Journal of Inequalities and Applications
issn 1029-242X
publishDate 2019-11-01
description Abstract In the article, we establish some new general fractional integral inequalities for exponentially m-convex functions involving an extended Mittag-Leffler function, provide several kinds of fractional integral operator inequalities and give certain special cases for our obtained results.
topic Convex function
Exponentially convex function
m-convex function
Mittag-Leffler function
Generalized fractional integral operator
Hermite–Hadamard inequality
url http://link.springer.com/article/10.1186/s13660-019-2248-7
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