New parameterized inequalities for twice differentiable functions

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dc.contributor.authorBudak, Hüseyin
dc.contributor.authorKara, Hasan
dc.contributor.authorHezenci, Fatih
dc.contributor.authorSarıkaya, Mehmet Zeki
dc.date.accessioned2023-07-26T11:54:39Z
dc.date.available2023-07-26T11:54:39Z
dc.date.issued2023
dc.departmentDÜ, Fen-Edebiyat Fakültesi, Matematik Bölümüen_US
dc.description.abstractThe present paper first establishes that an identity involving generalized fractional integrals is proved for twice differentiable functions by using a parameter. By using this equality, we obtain some parameterized inequalities for the functions whose second derivatives in absolute value are convex. Finally, we show that our main results reduce to trapezoid, midpoint Simpson and Bullen-type inequalities which are proved in earlier published papers.en_US
dc.identifier.doi10.2298/FIL2312737B
dc.identifier.endpage3753en_US
dc.identifier.issn0354-5180
dc.identifier.issue12en_US
dc.identifier.scopus2-s2.0-85150457161en_US
dc.identifier.scopusqualityQ3en_US
dc.identifier.startpage3737en_US
dc.identifier.urihttps://doi.org/10.2298/FIL2312737B
dc.identifier.urihttps://hdl.handle.net/20.500.12684/12888
dc.identifier.volume37en_US
dc.identifier.wosWOS:000945906000001en_US
dc.identifier.wosqualityQ2en_US
dc.indekslendigikaynakWeb of Scienceen_US
dc.indekslendigikaynakScopusen_US
dc.institutionauthorBudak, Hüseyin
dc.institutionauthorKara, Hasan
dc.institutionauthorHezenci, Fatih
dc.institutionauthorSarıkaya, Mehmet Zeki
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.snmz$2023V1Guncelleme$en_US
dc.subjectTrapezoid Inequalities; Midpoint Inequalities; Simpson Type Inequalities; Bullen-Type Inequalities; Generalized Fractional Integrals; Twice Differentiable Functionsen_US
dc.subjectIntegral-Inequalities; Hermite-Hadamard; Real Numbers; Mappingsen_US
dc.titleNew parameterized inequalities for twice differentiable functionsen_US
dc.typeArticleen_US

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