Fractional Hermite–Hadamard type inequalities for interval-valued functions

Abstract We introduce the concept of interval harmonically convex functions. By using two different classes of convexity, we get some further refinements for interval fractional Hermite–Hadamard type inequalities. Also, some examples are presented.

Bibliographic Details
Main Authors:	Xuelong Liu, Gouju Ye, Dafang Zhao, Wei Liu
Format:	Article
Language:	English
Published:	SpringerOpen 2019-10-01
Series:	Journal of Inequalities and Applications
Subjects:	Hermite–Hadamard type inequalities Interval-valued functions Fractional integrals
Online Access:	http://link.springer.com/article/10.1186/s13660-019-2217-1

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record_format	Article
spelling	doaj-cce2b53d18614ea3a508a4b7869b76112020-11-25T03:08:13ZengSpringerOpenJournal of Inequalities and Applications1029-242X2019-10-012019111110.1186/s13660-019-2217-1Fractional Hermite–Hadamard type inequalities for interval-valued functionsXuelong Liu0Gouju Ye1Dafang Zhao2Wei Liu3College of Science, Hohai UniversityCollege of Science, Hohai UniversityCollege of Science, Hohai UniversityCollege of Science, Hohai UniversityAbstract We introduce the concept of interval harmonically convex functions. By using two different classes of convexity, we get some further refinements for interval fractional Hermite–Hadamard type inequalities. Also, some examples are presented.http://link.springer.com/article/10.1186/s13660-019-2217-1Hermite–Hadamard type inequalitiesInterval-valued functionsFractional integrals
collection	DOAJ
language	English
format	Article
sources	DOAJ
author	Xuelong Liu Gouju Ye Dafang Zhao Wei Liu
spellingShingle	Xuelong Liu Gouju Ye Dafang Zhao Wei Liu Fractional Hermite–Hadamard type inequalities for interval-valued functions Journal of Inequalities and Applications Hermite–Hadamard type inequalities Interval-valued functions Fractional integrals
author_facet	Xuelong Liu Gouju Ye Dafang Zhao Wei Liu
author_sort	Xuelong Liu
title	Fractional Hermite–Hadamard type inequalities for interval-valued functions
title_short	Fractional Hermite–Hadamard type inequalities for interval-valued functions
title_full	Fractional Hermite–Hadamard type inequalities for interval-valued functions
title_fullStr	Fractional Hermite–Hadamard type inequalities for interval-valued functions
title_full_unstemmed	Fractional Hermite–Hadamard type inequalities for interval-valued functions
title_sort	fractional hermite–hadamard type inequalities for interval-valued functions
publisher	SpringerOpen
series	Journal of Inequalities and Applications
issn	1029-242X
publishDate	2019-10-01
description	Abstract We introduce the concept of interval harmonically convex functions. By using two different classes of convexity, we get some further refinements for interval fractional Hermite–Hadamard type inequalities. Also, some examples are presented.
topic	Hermite–Hadamard type inequalities Interval-valued functions Fractional integrals
url	http://link.springer.com/article/10.1186/s13660-019-2217-1
work_keys_str_mv	AT xuelongliu fractionalhermitehadamardtypeinequalitiesforintervalvaluedfunctions AT goujuye fractionalhermitehadamardtypeinequalitiesforintervalvaluedfunctions AT dafangzhao fractionalhermitehadamardtypeinequalitiesforintervalvaluedfunctions AT weiliu fractionalhermitehadamardtypeinequalitiesforintervalvaluedfunctions
_version_	1724666918816710656

Fractional Hermite–Hadamard type inequalities for interval-valued functions

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