Generalizations of Simpson type inequality for (?, m)-convex functions

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dc.authorscopusid58307603100en_US
dc.authorscopusid57038541500en_US
dc.authorscopusid59172169500en_US
dc.authorscopusid55364029600en_US
dc.authorwosidBUDAK, Hüseyin/CAA-1604-2022en_US
dc.contributor.authorMunir, Arslan
dc.contributor.authorBudak, Huseyin
dc.contributor.authorFaiz, Irza
dc.contributor.authorQaisar, Shahid
dc.date.accessioned2024-08-23T16:03:44Z
dc.date.available2024-08-23T16:03:44Z
dc.date.issued2024en_US
dc.departmentDüzce Üniversitesien_US
dc.description.abstractSeveral scholars are interested in fractional operators with integral inequalities. Due to its characteristics and wide range of applications in science, engineering fields, artificial intelligence and fractional inequalities should be employed in mathematical investigations. In this paper, we establish the new identity for the Caputo-Fabrizio fractional integral operator. By utilizing this identity, the generalization of Simpson type inequality for ( alpha, m ) -convex functions via the Caputo-Fabrizio fractional integral operator. Furthermore, we also include the applications to special means, q -digamma functions, Simpson formula, Matrix inequalities, Modified Bessel function, and mind -point formula. These applications have given a new dimension to scholars.en_US
dc.identifier.doi10.2298/FIL2410295M
dc.identifier.endpage3312en_US
dc.identifier.issn0354-5180
dc.identifier.issue10en_US
dc.identifier.scopus2-s2.0-85191297703en_US
dc.identifier.scopusqualityQ3en_US
dc.identifier.startpage3295en_US
dc.identifier.urihttps://doi.org/10.2298/FIL2410295M
dc.identifier.urihttps://hdl.handle.net/20.500.12684/13890
dc.identifier.volume38en_US
dc.identifier.wosWOS:001240873800001en_US
dc.identifier.wosqualityN/Aen_US
dc.indekslendigikaynakWeb of Scienceen_US
dc.indekslendigikaynakScopusen_US
dc.language.isoenen_US
dc.publisherUniv Nis, Fac Sci Mathen_US
dc.relation.ispartofFilomaten_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.subjectSimpson type inequalitiesen_US
dc.subject( alpha, m )-convex functionen_US
dc.subjectFractional integralsen_US
dc.subjectHolders inequalityen_US
dc.subjectPower-mean inequalityen_US
dc.subjectHermite-Hadamard Typeen_US
dc.subjectDifferentiable Mappingsen_US
dc.subjectReal Numbersen_US
dc.subjectConvex-Functionsen_US
dc.titleGeneralizations of Simpson type inequality for (?, m)-convex functionsen_US
dc.typeArticleen_US

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