Hermite-Hadamard Type Inequalities For (H)Over-Bar-Convex Function Via Fuzzy Interval-Valued Fractional Q-Integral

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dc.authoridSARIKAYA, Mehmet Zeki/0000-0002-6165-9242en_US
dc.authoridCheng, Haiyang/0000-0002-9794-6761en_US
dc.authorscopusid58662956600en_US
dc.authorscopusid55475714400en_US
dc.authorscopusid35303422100en_US
dc.authorwosidSARIKAYA, Mehmet Zeki/ABI-5543-2020en_US
dc.authorwosidZhao, Dafang/AAC-3583-2021en_US
dc.contributor.authorCheng, Haiyang
dc.contributor.authorZhao, Dafang
dc.contributor.authorSarikaya, Mehmet zeki
dc.date.accessioned2024-08-23T16:04:14Z
dc.date.available2024-08-23T16:04:14Z
dc.date.issued2024en_US
dc.departmentDüzce Üniversitesien_US
dc.description.abstractFractional q-calculus is considered to be the fractional analogs of q-calculus. In this paper, the fuzzy interval-valued Riemann-Liouville fractional (RLF) q-integral operator is introduced. Also new fuzzy variants of Hermite-Hadamard (HH) type and HH-Fejer inequalities, involving (h) over bar -convex fuzzy interval-valued functions (FIVFs), are presented by making use of the RLF q-integral. The results not only generalize existing findings in the literature but also lay a solid foundation for research on inequalities concerning FIVFs. Moreover, to verify our theoretical findings, numerical examples and imperative graphical illustrations are provided.en_US
dc.description.sponsorshipNatural Science Foundation of Hubei Province [2023AFD013]; Foundation of Hubei Normal University [2023Z073, 2023Z074, 2022055]en_US
dc.description.sponsorshipThis work was supported by the Natural Science Foundation of Hubei Province (2023AFD013) and the Foundation of Hubei Normal University (2023Z073, 2023Z074, 2022055).en_US
dc.identifier.doi10.1142/S0218348X24500427
dc.identifier.issn0218-348X
dc.identifier.issn1793-6543
dc.identifier.issue2en_US
dc.identifier.scopus2-s2.0-85187125104en_US
dc.identifier.scopusqualityQ1en_US
dc.identifier.urihttps://doi.org/10.1142/S0218348X24500427
dc.identifier.urihttps://hdl.handle.net/20.500.12684/14111
dc.identifier.volume32en_US
dc.identifier.wosWOS:001180360100001en_US
dc.identifier.wosqualityN/Aen_US
dc.indekslendigikaynakWeb of Scienceen_US
dc.indekslendigikaynakScopusen_US
dc.language.isoenen_US
dc.publisherWorld Scientific Publ Co Pte Ltden_US
dc.relation.ispartofFractals-Complex Geometry Patterns And Scaling in Nature And Societyen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.subjectHermite-Hadamard Inequalitiesen_US
dc.subject(h)over-bar-Convexityen_US
dc.subjectFractional Integralen_US
dc.subjectQuantum Integralen_US
dc.subjectFuzzy Interval-Valued Functionsen_US
dc.titleHermite-Hadamard Type Inequalities For (H)Over-Bar-Convex Function Via Fuzzy Interval-Valued Fractional Q-Integralen_US
dc.typeArticleen_US

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