Hermite-Hadamard type inequalities for F-convex function involving fractional integrals

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dc.contributor.authorMohammed, Pshtiwan Othman
dc.contributor.authorSarıkaya, Mehmet Zeki
dc.date.accessioned2020-05-01T12:10:19Z
dc.date.available2020-05-01T12:10:19Z
dc.date.issued2018
dc.departmentDÜ, Fen-Edebiyat Fakültesi, Matematik Bölümüen_US
dc.descriptionMohammed, Pshtiwan/0000-0001-6837-8075en_US
dc.descriptionWOS: 000454541600002en_US
dc.descriptionPubMed: 30839932en_US
dc.description.abstractIn this study, the family F and F-convex function are given with its properties. In view of this, we establish some new inequalities of Hermite-Hadamard type for differentiable function. Moreover, we establish some trapezoid type inequalities for functions whose second derivatives in absolute values are F-convex. We also show that through the notion of F-convex we can find some new Hermite-Hadamard type and trapezoid type inequalities for the Riemann-Liouville fractional integrals and classical integrals.en_US
dc.identifier.doi10.1186/s13660-018-1950-1en_US
dc.identifier.issn1029-242X
dc.identifier.scopusqualityQ2en_US
dc.identifier.urihttps://doi.org/10.1186/s13660-018-1950-1
dc.identifier.urihttps://hdl.handle.net/20.500.12684/6142
dc.identifier.wosWOS:000454541600002en_US
dc.identifier.wosqualityQ1en_US
dc.indekslendigikaynakWeb of Scienceen_US
dc.indekslendigikaynakPubMeden_US
dc.indekslendigikaynakScopusen_US
dc.language.isoenen_US
dc.publisherSpringeropenen_US
dc.relation.ispartofJournal Of Inequalities And Applicationsen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.subjectF-convexen_US
dc.subjectlambda(phi)-preinvexen_US
dc.subjectIntegral inequalitiesen_US
dc.titleHermite-Hadamard type inequalities for F-convex function involving fractional integralsen_US
dc.typeArticleen_US

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