Some New Generalized Fractional Newton's Type Inequalities for Convex Functions

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dc.authoridNonlaopon, Kamsing/0000-0002-7469-5402
dc.authoridSitthiwirattham, Thanin/0000-0002-8455-1402
dc.authoridBudak, Hüseyin/0000-0001-8843-955X
dc.authorwosidNonlaopon, Kamsing/AAD-4363-2020
dc.contributor.authorSoontharanon, Jarunee
dc.contributor.authorAli, Muhammad Aamir
dc.contributor.authorBudak, Hüseyin
dc.contributor.authorKösem, Pınar
dc.contributor.authorNonlaopon, Kamsing
dc.contributor.authorSitthiwirattham, Thanin
dc.date.accessioned2023-07-26T11:51:27Z
dc.date.available2023-07-26T11:51:27Z
dc.date.issued2022
dc.departmentDÜ, Fen-Edebiyat Fakültesi, Matematik Bölümüen_US
dc.description.abstractIn this paper, we establish some new Newton's type inequalities for differentiable convex functions using the generalized Riemann-Liouville fractional integrals. The main edge of the newly established inequalities is that these can be turned into several new and existing inequalities for different fractional integrals like Riemann-Liouville fractional integrals, k-fractional integrals, Katugampola fractional operators, conformable fractional operators, Hadamard fractional operators, and fractional operators with the exponential kernel without proving one by one. It is also shown that the newly established inequalities are the refinements of the previously established inequalities inside the literature.en_US
dc.description.sponsorshipNational Science, Research and Innovation Fund (NSRF); King Mongkut's University of Technology North Bangkok; [KMUTNB-FF-65-49]en_US
dc.description.sponsorshipAcknowledgmentsThis research was funded by the National Science, Research and Innovation Fund (NSRF) and King Mongkut's University of Technology North Bangkok with contract no. KMUTNB-FF-65-49.en_US
dc.identifier.doi10.1155/2022/6261970
dc.identifier.issn2314-8896
dc.identifier.issn2314-8888
dc.identifier.scopus2-s2.0-85138500844en_US
dc.identifier.scopusqualityQ3en_US
dc.identifier.urihttps://doi.org/10.1155/2022/6261970
dc.identifier.urihttps://hdl.handle.net/20.500.12684/12564
dc.identifier.volume2022en_US
dc.identifier.wosWOS:000852674200001en_US
dc.identifier.wosqualityQ1en_US
dc.indekslendigikaynakWeb of Scienceen_US
dc.indekslendigikaynakScopusen_US
dc.institutionauthorBudak, Hüseyin; Kösem, Pınar
dc.language.isoenen_US
dc.publisherHindawi Ltden_US
dc.relation.ispartofJournal of Function Spacesen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.snmz$2023V1Guncelleme$en_US
dc.subjectIntegral-Inequalities; Simpsons Typeen_US
dc.titleSome New Generalized Fractional Newton's Type Inequalities for Convex Functionsen_US
dc.typeArticleen_US

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