New error bounds for Newton's formula associated with tempered fractional integrals

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dc.authorscopusid55577228500en_US
dc.authorscopusid57038541500en_US
dc.authorwosidBUDAK, Hüseyin/CAA-1604-2022en_US
dc.contributor.authorHezenci, Fatih
dc.contributor.authorBudak, Huseyin
dc.date.accessioned2024-08-23T16:04:04Z
dc.date.available2024-08-23T16:04:04Z
dc.date.issued2024en_US
dc.departmentDüzce Üniversitesien_US
dc.description.abstractIn this paper, we first construct an integral identity associated with tempered fractional operators. By using this identity, we have found the error bounds for Simpson's second formula, namely Newton-Cotes quadrature formula for differentiable convex functions in the framework of tempered fractional integrals and classical calculus. Furthermore, it is also shown that the newly established inequalities are the extension of comparable inequalities inside the literature.en_US
dc.identifier.doi10.1186/s13661-024-01870-2
dc.identifier.issn1687-2770
dc.identifier.issue1en_US
dc.identifier.scopus2-s2.0-85192936047en_US
dc.identifier.scopusqualityQ3en_US
dc.identifier.urihttps://doi.org/10.1186/s13661-024-01870-2
dc.identifier.urihttps://hdl.handle.net/20.500.12684/14055
dc.identifier.volume2024en_US
dc.identifier.wosWOS:001223607800002en_US
dc.identifier.wosqualityN/Aen_US
dc.indekslendigikaynakWeb of Scienceen_US
dc.indekslendigikaynakScopusen_US
dc.language.isoenen_US
dc.publisherSpringeren_US
dc.relation.ispartofBoundary Value Problemsen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.subjectNewton-type inequalitiesen_US
dc.subjectQuadrature formulaeen_US
dc.subjectFractional integralsen_US
dc.subjectTempered fractional integralsen_US
dc.titleNew error bounds for Newton's formula associated with tempered fractional integralsen_US
dc.typeArticleen_US

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