New Simpson type inequalities for twice differentiable functions via generalized fractional integrals

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dc.authorwosidBUDAK, Hüseyin/CAA-1604-2022
dc.contributor.authorYou, Xue Xiao
dc.contributor.authorHezenci, Fatih
dc.contributor.authorBudak, Hüseyin
dc.contributor.authorKara, Hasan
dc.date.accessioned2023-07-26T11:54:26Z
dc.date.available2023-07-26T11:54:26Z
dc.date.issued2022
dc.departmentDÜ, Fen-Edebiyat Fakültesi, Matematik Bölümüen_US
dc.description.abstractFractional versions of Simpson inequalities for differentiable convex functions are extensively researched. However, Simpson type inequalities for twice differentiable functions are also investigated slightly. Hence, we establish a new identity for twice differentiable functions. Furthermore, by utilizing generalized fractional integrals, we prove several Simpson type inequalities for functions whose second derivatives in absolute value are convex.en_US
dc.description.sponsorshipKey Projects of Educational Commission of Hubei Province of China [D20192501]; Philosophy and Social Sciences of Educational Commission of Hubei Province of China [20Y109]en_US
dc.description.sponsorshipThis research was supported by Key Projects of Educational Commission of Hubei Province of China (D20192501), and Philosophy and Social Sciences of Educational Commission of Hubei Province of China (20Y109).en_US
dc.identifier.doi10.3934/math.2022218
dc.identifier.endpage3971en_US
dc.identifier.issn2473-6988
dc.identifier.issue3en_US
dc.identifier.scopus2-s2.0-85121028052en_US
dc.identifier.scopusqualityQ2en_US
dc.identifier.startpage3959en_US
dc.identifier.urihttps://doi.org/10.3934/math.2022218
dc.identifier.urihttps://hdl.handle.net/20.500.12684/12831
dc.identifier.volume7en_US
dc.identifier.wosWOS:000753857500022en_US
dc.identifier.wosqualityQ1en_US
dc.indekslendigikaynakWeb of Scienceen_US
dc.indekslendigikaynakScopusen_US
dc.institutionauthorHezenci, Fatih
dc.institutionauthorBudak, Hüseyin
dc.institutionauthorKara, Hasa
dc.language.isoenen_US
dc.publisherAmer Inst Mathematical Sciences-Aimsen_US
dc.relation.ispartofAims Mathematicsen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/openAccess
dc.snmz$2023V1Guncelleme$en_US
dc.subjectSimpson Type Inequalities; Generalized Fractional Integrals; Convex Functionsen_US
dc.subjectHadamard-Type Inequalities; Convex-Functionsen_US
dc.titleNew Simpson type inequalities for twice differentiable functions via generalized fractional integralsen_US
dc.typeArticleen_US

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