Some New Simpson's-Formula-Type Inequalities for Twice-Differentiable Convex Functions via Generalized Fractional Operators

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dc.authoridAli, Muhammad/0000-0002-1444-7888
dc.authoridTariboon, Jessada/0000-0001-8185-3539
dc.authorwosidAli, Muhammad Aamir/AAA-1831-2022
dc.authorwosidBUDAK, Hüseyin/CAA-1604-2022
dc.authorwosidAli, Muhammad/GXH-4405-2022
dc.authorwosidali, muhammad/GYR-3505-2022
dc.contributor.authorAli, Muhammad Aamir
dc.contributor.authorKara, Hasan
dc.contributor.authorTariboon, Jessada
dc.contributor.authorAsawasamrit, Suphawat
dc.contributor.authorBudak, Hüseyin
dc.contributor.authorHezenci, Fatih
dc.date.accessioned2023-07-26T11:51:19Z
dc.date.available2023-07-26T11:51:19Z
dc.date.issued2021
dc.departmentDÜ, Fen-Edebiyat Fakültesi, Matematik Bölümüen_US
dc.description.abstractFrom the past to the present, various works have been dedicated to Simpson's inequality for differentiable convex functions. Simpson-type inequalities for twice-differentiable functions have been the subject of some research. In this paper, we establish a new generalized fractional integral identity involving twice-differentiable functions, then we use this result to prove some new Simpson's-formula-type inequalities for twice-differentiable convex functions. Furthermore, we examine a few special cases of newly established inequalities and obtain several new and old Simpson's-formula-type inequalities. These types of analytic inequalities, as well as the methodologies for solving them, have applications in a wide range of fields where symmetry is crucial.en_US
dc.identifier.doi10.3390/sym13122249
dc.identifier.issn2073-8994
dc.identifier.issue12en_US
dc.identifier.scopus2-s2.0-85120403175en_US
dc.identifier.scopusqualityQ2en_US
dc.identifier.urihttps://doi.org/10.3390/sym13122249
dc.identifier.urihttps://hdl.handle.net/20.500.12684/12539
dc.identifier.volume13en_US
dc.identifier.wosWOS:000737213400001en_US
dc.identifier.wosqualityQ2en_US
dc.indekslendigikaynakWeb of Scienceen_US
dc.indekslendigikaynakScopusen_US
dc.institutionauthorKara, Hasan
dc.institutionauthorBudak, Hüseyin
dc.institutionauthorHezenci, Fatih
dc.language.isoenen_US
dc.publisherMdpien_US
dc.relation.ispartofSymmetry-Baselen_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-Type Inequalities; Convex Function; Fractional Integralsen_US
dc.subjectHermite-Hadamard Inequalities; Integral-Inequalities; Extensionsen_US
dc.titleSome New Simpson's-Formula-Type Inequalities for Twice-Differentiable Convex Functions via Generalized Fractional Operatorsen_US
dc.typeArticleen_US

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