Some parameterized Simpson-, midpoint-and trapezoid-type inequalities for generalized fractional integrals

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dc.authoridBudak, Hüseyin/0000-0001-8843-955X
dc.authorwosidBUDAK, Hüseyin/CAA-1604-2022
dc.contributor.authorBudak, Hüseyin
dc.contributor.authorYıldırım, Seda Kılınç
dc.contributor.authorSarıkaya, Mehmet Zeki
dc.contributor.authorYıldırım, Hüseyin
dc.date.accessioned2023-07-26T11:54:49Z
dc.date.available2023-07-26T11:54:49Z
dc.date.issued2022
dc.departmentDÜ, Fen-Edebiyat Fakültesi, Matematik Bölümüen_US
dc.description.abstractIn this paper, we first obtain an identity for differentiable mappings. Then, we establish some new generalized inequalities for differentiable convex functions involving some parameters and generalized fractional integrals. We show that these results reduce to several new Simpson-, midpoint- and trapezoid-type inequalities. The results given in this study are the generalizations of results proved in several earlier papers.en_US
dc.identifier.doi10.1186/s13660-022-02773-5
dc.identifier.issn1029-242X
dc.identifier.issue1en_US
dc.identifier.scopus2-s2.0-85128230538en_US
dc.identifier.scopusqualityQ2en_US
dc.identifier.urihttps://doi.org/10.1186/s13660-022-02773-5
dc.identifier.urihttps://hdl.handle.net/20.500.12684/12929
dc.identifier.volume2022en_US
dc.identifier.wosWOS:000780907800001en_US
dc.identifier.wosqualityQ1en_US
dc.indekslendigikaynakWeb of Scienceen_US
dc.indekslendigikaynakScopusen_US
dc.institutionauthorBudak, Hüseyin
dc.institutionauthorSarıkaya, Mehmet Zek
dc.language.isoenen_US
dc.publisherSpringeren_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.snmz$2023V1Guncelleme$en_US
dc.subjectSimpson's 1/3 Formula; Integral Inequalities; Fractional Calculus; Convex Functionsen_US
dc.subjectHermite-Hadamard-Type; Differentiable Mappings; Convex Functions; Real Numbersen_US
dc.titleSome parameterized Simpson-, midpoint-and trapezoid-type inequalities for generalized fractional integralsen_US
dc.typeArticleen_US

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