Tempered fractional versions of trapezoid and midpoint-type inequalities for twice-differentiable functions

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dc.authorscopusid59225154000en_US
dc.authorscopusid59225001300en_US
dc.contributor.authorHezenci, Fatih
dc.contributor.authorBudak, Hüseyin
dc.date.accessioned2024-08-23T16:03:44Z
dc.date.available2024-08-23T16:03:44Z
dc.date.issued2024en_US
dc.departmentDüzce Üniversitesien_US
dc.description.abstractThe paper introduces a novel approach to examine Hermite-Hadamard-type inequalities taking advantage of tempered fractional operators. These inequalities are proved by means of twice-differentiable convex functions involving tempered fractional integral operators. Obtained Hermite-Hadamard-type inequalities are a generalization of some of the studies on this subject, including Riemann-Liouville fractional integrals.en_US
dc.identifier.doi10.2298/FIL2412021H
dc.identifier.endpage4034en_US
dc.identifier.issn0354-5180
dc.identifier.issue12en_US
dc.identifier.scopus2-s2.0-85199001282en_US
dc.identifier.scopusqualityQ3en_US
dc.identifier.startpage4021en_US
dc.identifier.urihttps://doi.org/10.2298/FIL2412021H
dc.identifier.urihttps://hdl.handle.net/20.500.12684/13888
dc.identifier.volume38en_US
dc.identifier.wosWOS:001272712500001en_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.subjectHermite-Hadamard-type inequalityen_US
dc.subjectconvex functionsen_US
dc.subjectfractional integralsen_US
dc.subjectRiemann-Liouville fractional integralsen_US
dc.subjectfractionalen_US
dc.subjectHadamard Type Inequalitiesen_US
dc.subjectReal Numbersen_US
dc.subjectMappingsen_US
dc.titleTempered fractional versions of trapezoid and midpoint-type inequalities for twice-differentiable functionsen_US
dc.typeArticleen_US

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