Fractional Hermite-Hadamard-type inequalities for interval-valued co-ordinated convex functions

In this work, we introduce the notions about the Riemann-Liouville fractional integrals for interval-valued functions on co-ordinates. We also establish Hermite-Hadamard and some related inequalities for co-ordinated convex interval-valued functions by applying the newly defined fractional integrals...

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Autores principales:	Budak Huseyin, Kara Hasan, Ali Muhammad Aamir, Khan Sundas, Chu Yuming
Formato:	article
Lenguaje:	EN
Publicado:	De Gruyter 2021
Materias:	fractional integrals hermite-hadamard inequality interval-valued functions 26d10 26d15 26a51 Mathematics QA1-939
Acceso en línea:	https://doaj.org/article/23822766db9042ce9a1b0f08eb106e56
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spelling	oai:doaj.org-article:23822766db9042ce9a1b0f08eb106e562021-12-05T14:10:53ZFractional Hermite-Hadamard-type inequalities for interval-valued co-ordinated convex functions2391-545510.1515/math-2021-0067https://doaj.org/article/23822766db9042ce9a1b0f08eb106e562021-09-01T00:00:00Zhttps://doi.org/10.1515/math-2021-0067https://doaj.org/toc/2391-5455In this work, we introduce the notions about the Riemann-Liouville fractional integrals for interval-valued functions on co-ordinates. We also establish Hermite-Hadamard and some related inequalities for co-ordinated convex interval-valued functions by applying the newly defined fractional integrals. The results of the present paper are the extension of several previously published results.Budak HuseyinKara HasanAli Muhammad AamirKhan SundasChu YumingDe Gruyterarticlefractional integralshermite-hadamard inequalityinterval-valued functions26d1026d1526a51MathematicsQA1-939ENOpen Mathematics, Vol 19, Iss 1, Pp 1081-1097 (2021)
institution	DOAJ
collection	DOAJ
language	EN
topic	fractional integrals hermite-hadamard inequality interval-valued functions 26d10 26d15 26a51 Mathematics QA1-939
spellingShingle	fractional integrals hermite-hadamard inequality interval-valued functions 26d10 26d15 26a51 Mathematics QA1-939 Budak Huseyin Kara Hasan Ali Muhammad Aamir Khan Sundas Chu Yuming Fractional Hermite-Hadamard-type inequalities for interval-valued co-ordinated convex functions
description	In this work, we introduce the notions about the Riemann-Liouville fractional integrals for interval-valued functions on co-ordinates. We also establish Hermite-Hadamard and some related inequalities for co-ordinated convex interval-valued functions by applying the newly defined fractional integrals. The results of the present paper are the extension of several previously published results.
format	article
author	Budak Huseyin Kara Hasan Ali Muhammad Aamir Khan Sundas Chu Yuming
author_facet	Budak Huseyin Kara Hasan Ali Muhammad Aamir Khan Sundas Chu Yuming
author_sort	Budak Huseyin
title	Fractional Hermite-Hadamard-type inequalities for interval-valued co-ordinated convex functions
title_short	Fractional Hermite-Hadamard-type inequalities for interval-valued co-ordinated convex functions
title_full	Fractional Hermite-Hadamard-type inequalities for interval-valued co-ordinated convex functions
title_fullStr	Fractional Hermite-Hadamard-type inequalities for interval-valued co-ordinated convex functions
title_full_unstemmed	Fractional Hermite-Hadamard-type inequalities for interval-valued co-ordinated convex functions
title_sort	fractional hermite-hadamard-type inequalities for interval-valued co-ordinated convex functions
publisher	De Gruyter
publishDate	2021
url	https://doaj.org/article/23822766db9042ce9a1b0f08eb106e56
work_keys_str_mv	AT budakhuseyin fractionalhermitehadamardtypeinequalitiesforintervalvaluedcoordinatedconvexfunctions AT karahasan fractionalhermitehadamardtypeinequalitiesforintervalvaluedcoordinatedconvexfunctions AT alimuhammadaamir fractionalhermitehadamardtypeinequalitiesforintervalvaluedcoordinatedconvexfunctions AT khansundas fractionalhermitehadamardtypeinequalitiesforintervalvaluedcoordinatedconvexfunctions AT chuyuming fractionalhermitehadamardtypeinequalitiesforintervalvaluedcoordinatedconvexfunctions
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Fractional Hermite-Hadamard-type inequalities for interval-valued co-ordinated convex functions

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