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

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

Abstract 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...

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Bibliographic Details
Main Authors: Muhammad Adil Khan, Arshad Iqbal, Muhammad Suleman, Yu-Ming Chu
Format: Article
Language:English
Published: SpringerOpen 2018-07-01
Series:Journal of Inequalities and Applications
Subjects:
Hermite–Hadamard inequality
convex function
Green’s function
Online Access:http://link.springer.com/article/10.1186/s13660-018-1751-6
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spelling doaj-d8080a5043ca408d905b81c2bcf30a1d2020-11-24T20:53:36ZengSpringerOpenJournal of Inequalities and Applications1029-242X2018-07-012018111510.1186/s13660-018-1751-6Hermite–Hadamard type inequalities for fractional integrals via Green’s functionMuhammad Adil Khan0Arshad Iqbal1Muhammad Suleman2Yu-Ming Chu3College of Science, Hunan City UniversityDepartment of Mathematics, University of PeshawarDepartment of Mathematics, University of PeshawarDepartment of Mathematics, Huzhou UniversityAbstract 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.http://link.springer.com/article/10.1186/s13660-018-1751-6Hermite–Hadamard inequalityconvex functionGreen’s function
collection DOAJ
language English
format Article
sources DOAJ
author Muhammad Adil Khan
Arshad Iqbal
Muhammad Suleman
Yu-Ming Chu
spellingShingle Muhammad Adil Khan
Arshad Iqbal
Muhammad Suleman
Yu-Ming Chu
Hermite–Hadamard type inequalities for fractional integrals via Green’s function
Journal of Inequalities and Applications
Hermite–Hadamard inequality
convex function
Green’s function
author_facet Muhammad Adil Khan
Arshad Iqbal
Muhammad Suleman
Yu-Ming Chu
author_sort Muhammad Adil Khan
title 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_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_sort hermite–hadamard type inequalities for fractional integrals via green’s function
publisher SpringerOpen
series Journal of Inequalities and Applications
issn 1029-242X
publishDate 2018-07-01
description Abstract 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.
topic Hermite–Hadamard inequality
convex function
Green’s function
url http://link.springer.com/article/10.1186/s13660-018-1751-6
work_keys_str_mv AT muhammadadilkhan hermitehadamardtypeinequalitiesforfractionalintegralsviagreensfunction
AT arshadiqbal hermitehadamardtypeinequalitiesforfractionalintegralsviagreensfunction
AT muhammadsuleman hermitehadamardtypeinequalitiesforfractionalintegralsviagreensfunction
AT yumingchu hermitehadamardtypeinequalitiesforfractionalintegralsviagreensfunction
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