A study of improved error bounds for Simpson type inequality via fractional integral operator

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dc.authorscopusid58307603100en_US
dc.authorscopusid59174503700en_US
dc.authorscopusid24450952300en_US
dc.authorscopusid57038541500en_US
dc.authorscopusid59172169500en_US
dc.contributor.authorMunir, A.
dc.contributor.authorQayyum, A.
dc.contributor.authorSupadi, S.S.
dc.contributor.authorBudak, Hüseyin
dc.contributor.authorFaiz, I.
dc.date.accessioned2024-08-23T16:07:29Z
dc.date.available2024-08-23T16:07:29Z
dc.date.issued2024en_US
dc.departmentDüzce Üniversitesien_US
dc.description.abstractFractional integral operators have been studied extensively in the last few decades, and many different types of fractional integral operators have been introduced by various mathematicians. In 1967 Michele Caputo introduced Caputo fractional derivatives, which defined one of these fractional operators, the Caputo Fabrizio fractional integral operator. The main aim of this article is to established the new integral equalities related to Caputo-Fabrizio fractional integral operator. By incorporating this identity and convexity theory to obtained a novel class of Simpson type inequality. In this paper, we present a novel generalization of Simpson type inequality via s-convex and quasi-convex functions. Then, utilizing this identity the bounds of classical Simpson type inequality is improved. Finally, we discussed some applications to Simpson's quadrature rule. © 2024, University of Nis. All rights reserved.en_US
dc.identifier.doi10.2298/FIL2410415M
dc.identifier.endpage3427en_US
dc.identifier.issn0354-5180
dc.identifier.issue10en_US
dc.identifier.scopus2-s2.0-85195914370en_US
dc.identifier.scopusqualityQ3en_US
dc.identifier.startpage3415en_US
dc.identifier.urihttps://doi.org/10.2298/FIL2410415M
dc.identifier.urihttps://hdl.handle.net/20.500.12684/14676
dc.identifier.volume38en_US
dc.indekslendigikaynakScopusen_US
dc.language.isoenen_US
dc.publisherUniversity of Nisen_US
dc.relation.ispartofFilomaten_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.subjectFractional integralsen_US
dc.subjectHölder's inequalityen_US
dc.subjectPower-mean inequalityen_US
dc.subjects-convex functionen_US
dc.subjectSimpson type inequalitiesen_US
dc.titleA study of improved error bounds for Simpson type inequality via fractional integral operatoren_US
dc.typeArticleen_US

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