Generalization of Hermite-Hadamard Type Inequalities via Conformable Fractional Integrals

We establish a Hermite-Hadamard type identity and several new Hermite-Hadamard type inequalities for conformable fractional integrals and present their applications to special bivariate means.

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Main Authors: Muhammad Adil Khan, Yousaf Khurshid, Ting-Song Du, Yu-Ming Chu
Format: Article
Language:English
Published: Wiley 2018-01-01
Series:Journal of Function Spaces
Online Access:http://dx.doi.org/10.1155/2018/5357463
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author Muhammad Adil Khan
Yousaf Khurshid
Ting-Song Du
Yu-Ming Chu
author_facet Muhammad Adil Khan
Yousaf Khurshid
Ting-Song Du
Yu-Ming Chu
author_sort Muhammad Adil Khan
collection DOAJ
description We establish a Hermite-Hadamard type identity and several new Hermite-Hadamard type inequalities for conformable fractional integrals and present their applications to special bivariate means.
format Article
id doaj-art-60e101ec007744c8a2051fc495c8cb76
institution Kabale University
issn 2314-8896
2314-8888
language English
publishDate 2018-01-01
publisher Wiley
record_format Article
series Journal of Function Spaces
spelling doaj-art-60e101ec007744c8a2051fc495c8cb762025-02-03T01:11:09ZengWileyJournal of Function Spaces2314-88962314-88882018-01-01201810.1155/2018/53574635357463Generalization of Hermite-Hadamard Type Inequalities via Conformable Fractional IntegralsMuhammad Adil Khan0Yousaf Khurshid1Ting-Song Du2Yu-Ming Chu3College of Science, Hunan City University, Yiyang 413000, ChinaDepartment of Mathematics, University of Peshawar, Peshawar 25000, PakistanDepartment of Mathematics, College of Science, China Three Gorges University, Yichang 443002, ChinaDepartment of Mathematics, Huzhou University, Huzhou 313000, ChinaWe establish a Hermite-Hadamard type identity and several new Hermite-Hadamard type inequalities for conformable fractional integrals and present their applications to special bivariate means.http://dx.doi.org/10.1155/2018/5357463
spellingShingle Muhammad Adil Khan
Yousaf Khurshid
Ting-Song Du
Yu-Ming Chu
Generalization of Hermite-Hadamard Type Inequalities via Conformable Fractional Integrals
Journal of Function Spaces
title Generalization of Hermite-Hadamard Type Inequalities via Conformable Fractional Integrals
title_full Generalization of Hermite-Hadamard Type Inequalities via Conformable Fractional Integrals
title_fullStr Generalization of Hermite-Hadamard Type Inequalities via Conformable Fractional Integrals
title_full_unstemmed Generalization of Hermite-Hadamard Type Inequalities via Conformable Fractional Integrals
title_short Generalization of Hermite-Hadamard Type Inequalities via Conformable Fractional Integrals
title_sort generalization of hermite hadamard type inequalities via conformable fractional integrals
url http://dx.doi.org/10.1155/2018/5357463
work_keys_str_mv AT muhammadadilkhan generalizationofhermitehadamardtypeinequalitiesviaconformablefractionalintegrals
AT yousafkhurshid generalizationofhermitehadamardtypeinequalitiesviaconformablefractionalintegrals
AT tingsongdu generalizationofhermitehadamardtypeinequalitiesviaconformablefractionalintegrals
AT yumingchu generalizationofhermitehadamardtypeinequalitiesviaconformablefractionalintegrals