Generalized fractional Hermite-Hadamard type inclusions for co-ordinated convex interval-valued functions

dc.authoridVivas-Cortez, Miguel J. J./0000-0002-1567-0264
dc.authorwosidVivas-Cortez, Miguel J. J./AAC-9992-2019
dc.contributor.authorVivas-Cortez, Miguel J. J.
dc.contributor.authorKara, Hasan
dc.contributor.authorBudak, Hüseyin
dc.contributor.authorAli, Muhammad Aamir
dc.contributor.authorChasreechai, Saowaluck
dc.date.accessioned2023-07-26T11:53:50Z
dc.date.available2023-07-26T11:53:50Z
dc.date.issued2022
dc.departmentDÜ, Fen-Edebiyat Fakültesi, Matematik Bölümüen_US
dc.description.abstractIn this article, we introduce the notions of generalized fractional integrals for the interval-valued functions (IVFs) of two variables. We establish Hermite-Hadamard (H-H) type inequalities and some related inequalities for co-ordinated convex IVFs by using the newly defined integrals. The fundamental benefit of these inequalities is that these can be turned into classical H-H inequalities and Riemann-Liouville fractional H-H inequalities, and new k k -Riemann-Liouville fractional H-H inequalities can be obtained for co-ordinated convex IVFs without having to prove each one separately.en_US
dc.description.sponsorshipKing Mongkut's University of Technology North Bangkok [KMUTNB-63-KNOW-018]en_US
dc.description.sponsorshipThis work was also supported by King Mongkut's University of Technology North Bangkok, Contract no. KMUTNB-63-KNOW-018.en_US
dc.identifier.doi10.1515/math-2022-0477
dc.identifier.endpage1903en_US
dc.identifier.issn2391-5455
dc.identifier.issue1en_US
dc.identifier.scopus2-s2.0-85146529981en_US
dc.identifier.scopusqualityQ3en_US
dc.identifier.startpage1887en_US
dc.identifier.urihttps://doi.org/10.1515/math-2022-0477
dc.identifier.urihttps://hdl.handle.net/20.500.12684/12619
dc.identifier.volume20en_US
dc.identifier.wosWOS:000914647100001en_US
dc.identifier.wosqualityQ1en_US
dc.indekslendigikaynakWeb of Scienceen_US
dc.indekslendigikaynakScopusen_US
dc.institutionauthorKara, Hasan
dc.institutionauthorBudak, Hüseyin
dc.language.isoenen_US
dc.publisherDe Gruyter Poland Sp Z O Oen_US
dc.relation.ispartofOpen Mathematicsen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.snmz$2023V1Guncelleme$en_US
dc.subjectH-H Inclusion; Ivfs; Fractional Integral; Co-Ordinated Convex; Integral Inclusionsen_US
dc.subjectInequalities; Calculusen_US
dc.titleGeneralized fractional Hermite-Hadamard type inclusions for co-ordinated convex interval-valued functionsen_US
dc.typeArticleen_US

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