On generalized Ostrowski, Simpson and Trapezoidal type inequalities for co-ordinated convex functions via generalized fractional integrals

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dc.contributor.authorBudak, Huseyin
dc.contributor.authorHezenci, Fatih
dc.contributor.authorKara, Hasan
dc.date.accessioned2021-12-01T18:47:25Z
dc.date.available2021-12-01T18:47:25Z
dc.date.issued2021
dc.department[Belirlenecek]en_US
dc.description.abstractIn this study, we prove an identity for twice partially differentiable mappings involving the double generalized fractional integral and some parameters. By using this established identity, we offer some generalized inequalities for differentiable co-ordinated convex functions with a rectangle in the plane R2. Furthermore, by special choice of parameters in our main results, we obtain several well-known inequalities such as the Ostrowski inequality, trapezoidal inequality, and the Simpson inequality for Riemann and Riemann-Liouville fractional integrals.en_US
dc.identifier.doi10.1186/s13662-021-03463-0
dc.identifier.issn1687-1847
dc.identifier.issue1en_US
dc.identifier.urihttps://doi.org/10.1186/s13662-021-03463-0
dc.identifier.urihttps://hdl.handle.net/20.500.12684/10262
dc.identifier.volume2021en_US
dc.identifier.wosWOS:000668582400005en_US
dc.identifier.wosqualityQ1en_US
dc.indekslendigikaynakWeb of Scienceen_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 inequalityen_US
dc.subjectOstrowski inequalityen_US
dc.subjectCo-ordinated convex functionen_US
dc.subjectGeneralized fractional integralsen_US
dc.subject26D07en_US
dc.subject26D10en_US
dc.subject26D15en_US
dc.subject26B15en_US
dc.subject26B25en_US
dc.subjectHadamard-Type Inequalitiesen_US
dc.subjectDifferentiable Mappingsen_US
dc.subjectReal Numbersen_US
dc.titleOn generalized Ostrowski, Simpson and Trapezoidal type inequalities for co-ordinated convex functions via generalized fractional integralsen_US
dc.typeArticleen_US

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