Riemann-Liouville Fractional Newton's Type Inequalities for Differentiable Convex Functions

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dc.authoridAli, Muhammad/0000-0002-1444-7888
dc.authoridNonlaopon, Kamsing/0000-0002-7469-5402
dc.authoridSitthiwirattham, Thanin/0000-0002-8455-1402
dc.authoridBudak, Hüseyin/0000-0001-8843-955X
dc.authorwosidAli, Muhammad/GXH-4405-2022
dc.authorwosidNonlaopon, Kamsing/AAD-4363-2020
dc.authorwosidBUDAK, Hüseyin/CAA-1604-2022
dc.authorwosidSitthiwirattham, Thanin/Q-4043-2019
dc.authorwosidali, muhammad/GYR-3505-2022
dc.authorwosidAli, Muhammad Aamir/AAA-1831-2022
dc.contributor.authorSitthiwirattham, Thanin
dc.contributor.authorNonlaopon, Kamsing
dc.contributor.authorAli, Muhammad Aamir
dc.contributor.authorBudak, Hüseyin
dc.date.accessioned2023-07-26T11:54:12Z
dc.date.available2023-07-26T11:54:12Z
dc.date.issued2022
dc.departmentDÜ, Fen-Edebiyat Fakültesi, Matematik Bölümüen_US
dc.description.abstractIn this paper, we prove some new Newton's type inequalities for differentiable convex functions through the well-known Riemann-Liouville fractional integrals. Moreover, we prove some inequalities of Riemann-Liouville fractional Newton's type for functions of bounded variation. It is also shown that the newly established inequalities are the extension of comparable inequalities inside the literature. Finally, we give some examples with graphs and show the validity of newly established inequalities.en_US
dc.description.sponsorshipNSRF [B05F640163]en_US
dc.description.sponsorshipThis research has received funding support from the NSRF via the Program Management Unit for Human Resources & lnstitutional Development, Research and lnnovation [grant number B05F640163].en_US
dc.identifier.doi10.3390/fractalfract6030175
dc.identifier.issn2504-3110
dc.identifier.issue3en_US
dc.identifier.scopus2-s2.0-85127553397en_US
dc.identifier.scopusqualityQ2en_US
dc.identifier.urihttps://doi.org/10.3390/fractalfract6030175
dc.identifier.urihttps://hdl.handle.net/20.500.12684/12762
dc.identifier.volume6en_US
dc.identifier.wosWOS:000776501900001en_US
dc.identifier.wosqualityQ1en_US
dc.indekslendigikaynakWeb of Scienceen_US
dc.indekslendigikaynakScopusen_US
dc.institutionauthorBudak, Hüseyin
dc.language.isoenen_US
dc.publisherMdpien_US
dc.relation.ispartofFractal and Fractionalen_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 3/8 Formula; Fractional Calculus; Convex Functionsen_US
dc.subjectSimpsons Typeen_US
dc.titleRiemann-Liouville Fractional Newton's Type Inequalities for Differentiable Convex Functionsen_US
dc.typeArticleen_US

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