On Fractional Newton Inequalities via Coordinated Convex Functions

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dc.authoridNonlaopon, Kamsing/0000-0002-7469-5402
dc.authoridKARA, Hasan/0000-0002-2075-944X
dc.authoridBudak, Hüseyin/0000-0001-8843-955X
dc.authorwosidNonlaopon, Kamsing/AAD-4363-2020
dc.contributor.authorKösem, Pınar
dc.contributor.authorKara, Hasan
dc.contributor.authorBudak, Hüseyin
dc.contributor.authorAli, Muhammad Aamir
dc.contributor.authorNonlaopon, Kamsing
dc.date.accessioned2023-07-26T11:53:58Z
dc.date.available2023-07-26T11:53:58Z
dc.date.issued2022
dc.departmentDÜ, Fen-Edebiyat Fakültesi, Matematik Bölümüen_US
dc.description.abstractIn this paper, firstly, we present an integral identity for functions of two variables via Riemann-Liouville fractional integrals. Then, a Newton-type inequality via partially differentiable coordinated convex mappings is derived by taking the absolute value of the obtained identity. Moreover, several inequalities are obtained with the aid of the Holder and power mean inequality. In addition, we investigate some Newton-type inequalities utilizing mappings of two variables with bounded variation. Finally, we gave some mathematical examples and their graphical behavior to validate the obtained inequalities.en_US
dc.description.sponsorshipNational Science, Research and Innovation Fund (NSRF), Thailanden_US
dc.description.sponsorshipThis research have received funding support from the National Science, Research and Innovation Fund (NSRF), Thailand.en_US
dc.identifier.doi10.3390/sym14081526
dc.identifier.issn2073-8994
dc.identifier.issue8en_US
dc.identifier.scopus2-s2.0-85137410899en_US
dc.identifier.scopusqualityQ2en_US
dc.identifier.urihttps://doi.org/10.3390/sym14081526
dc.identifier.urihttps://hdl.handle.net/20.500.12684/12676
dc.identifier.volume14en_US
dc.identifier.wosWOS:000845195100001en_US
dc.identifier.wosqualityQ2en_US
dc.indekslendigikaynakWeb of Scienceen_US
dc.indekslendigikaynakScopusen_US
dc.institutionauthorKösem, Pınar
dc.institutionauthorKara, Hasan
dc.institutionauthorBudak, Hüseyin
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.subjectNewton-Type Inequality; Fractional Calculus; Co-Ordinated Convex Functions; Bounded Variation Functions; Riemann Stieltjes Integralsen_US
dc.subjectHadamard-Type Inequalities; Simpson Type; Integralsen_US
dc.titleOn Fractional Newton Inequalities via Coordinated Convex Functionsen_US
dc.typeArticleen_US

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