New version of fractional Simpson type inequalities for twice differentiable functions

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dc.authoridHEZENCI, fatih/0000-0003-1008-5856
dc.contributor.authorHezenci, Fatih
dc.contributor.authorBudak, Hüseyin
dc.contributor.authorKara, Hasan
dc.date.accessioned2021-12-01T18:47:02Z
dc.date.available2021-12-01T18:47:02Z
dc.date.issued2021
dc.department[Belirlenecek]en_US
dc.description.abstractSimpson inequalities for differentiable convex functions and their fractional versions have been studied extensively. Simpson type inequalities for twice differentiable functions are also investigated. More precisely, Budak et al. established the first result on fractional Simpson inequality for twice differentiable functions. In the present article, we prove a new identity for twice differentiable functions. In addition to this, we establish several fractional Simpson type inequalities for functions whose second derivatives in absolute value are convex. This paper is a new version of fractional Simpson type inequalities for twice differentiable functions.en_US
dc.identifier.doi10.1186/s13662-021-03615-2
dc.identifier.issn1687-1847
dc.identifier.issue1en_US
dc.identifier.scopus2-s2.0-85117470412en_US
dc.identifier.scopusqualityQ2en_US
dc.identifier.urihttps://doi.org/10.1186/s13662-021-03615-2
dc.identifier.urihttps://hdl.handle.net/20.500.12684/10113
dc.identifier.volume2021en_US
dc.identifier.wosWOS:000708493400005en_US
dc.identifier.wosqualityQ1en_US
dc.indekslendigikaynakWeb of Scienceen_US
dc.indekslendigikaynakScopusen_US
dc.language.isoenen_US
dc.publisherSpringeren_US
dc.relation.ispartofAdvances In Difference Equationsen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.subjectSimpson type inequalitiesen_US
dc.subjectConvex functionen_US
dc.subjectFractional integralsen_US
dc.subjectIntegral-Inequalitiesen_US
dc.subjectConvex-Functionsen_US
dc.titleNew version of fractional Simpson type inequalities for twice differentiable functionsen_US
dc.typeArticleen_US

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