A study on error bounds for Newton-type inequalities in conformable fractional integrals

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dc.authoridUnal, Cihan/0000-0002-7242-393Xen_US
dc.authorscopusid57038541500en_US
dc.authorscopusid56516486800en_US
dc.authorscopusid55577228500en_US
dc.authorwosidBUDAK, Hüseyin/CAA-1604-2022en_US
dc.authorwosidUnal, Cihan/AAD-3578-2020en_US
dc.contributor.authorBudak, Huseyin
dc.contributor.authorUnal, Cihan
dc.contributor.authorHezenci, Fatih
dc.date.accessioned2024-08-23T16:04:01Z
dc.date.available2024-08-23T16:04:01Z
dc.date.issued2024en_US
dc.departmentDüzce Üniversitesien_US
dc.description.abstractThe authors of the paper suggest a novel approach in order to examine an integral equality using conformable fractional operators. By using this identity, some Newton-type inequalities are proved for differentiable convex functions by taking the modulus of the newly established equality. Moreover, we prove some Newton-type inequalities by using the H & ouml;lder and power-mean inequality. Furthermore, some new results are presented by using special choices of obtained inequalities. Finally, we give some conformable fractional Newton-type inequalities for functions of bounded variation.en_US
dc.identifier.doi10.1515/ms-2024-0024
dc.identifier.endpage330en_US
dc.identifier.issn0139-9918
dc.identifier.issn1337-2211
dc.identifier.issue2en_US
dc.identifier.scopus2-s2.0-85194369529en_US
dc.identifier.scopusqualityQ2en_US
dc.identifier.startpage313en_US
dc.identifier.urihttps://doi.org/10.1515/ms-2024-0024
dc.identifier.urihttps://hdl.handle.net/20.500.12684/14010
dc.identifier.volume74en_US
dc.identifier.wosWOS:001230570300018en_US
dc.identifier.wosqualityN/Aen_US
dc.indekslendigikaynakWeb of Scienceen_US
dc.indekslendigikaynakScopusen_US
dc.language.isoenen_US
dc.publisherWalter De Gruyter Gmbhen_US
dc.relation.ispartofMathematica Slovacaen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.subjectNewton formulaen_US
dc.subjectfractional calculusen_US
dc.subjectconformable fractional integralsen_US
dc.titleA study on error bounds for Newton-type inequalities in conformable fractional integralsen_US
dc.typeArticleen_US

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