Fractional Newton-type integral inequalities by means of various function classes

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dc.authoridHezenci, Fatih/0000-0003-1008-5856en_US
dc.authoridBudak, Huseyin/0000-0001-8843-955Xen_US
dc.authorscopusid55577228500en_US
dc.authorscopusid57038541500en_US
dc.contributor.authorHezenci, Fatih
dc.contributor.authorBudak, Huseyin
dc.date.accessioned2024-08-23T16:07:18Z
dc.date.available2024-08-23T16:07:18Z
dc.date.issued2024en_US
dc.departmentDüzce Üniversitesien_US
dc.description.abstractThe authors of the paper present a method to examine some Newton-type inequalities for various function classes using Riemann-Liouville fractional integrals. Namely, some fractional Newton-type inequalities are established by using convex functions. In addition, several fractional Newton-type inequalities are proved by using bounded functions by fractional integrals. Moreover, we construct some fractional Newton-type inequalities for Lipschitzian functions. Furthermore, several Newton-type inequalities are acquired by fractional integrals of bounded variation. Finally, we provide our results by using special cases of obtained theorems and examples.en_US
dc.identifier.doi10.1002/mma.10378
dc.identifier.issn0170-4214
dc.identifier.issn1099-1476
dc.identifier.scopus2-s2.0-85200349952en_US
dc.identifier.scopusqualityQ1en_US
dc.identifier.urihttps://doi.org/10.1002/mma.10378
dc.identifier.urihttps://hdl.handle.net/20.500.12684/14575
dc.identifier.wosWOS:001283105000001en_US
dc.identifier.wosqualityN/Aen_US
dc.indekslendigikaynakWeb of Scienceen_US
dc.indekslendigikaynakScopusen_US
dc.language.isoenen_US
dc.publisherWileyen_US
dc.relation.ispartofMathematical Methods in the Applied Sciencesen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.subjectbounded functionsen_US
dc.subjectconvex functionsen_US
dc.subjectLipschitzian functionsen_US
dc.subjectNewton-type inequalitiesen_US
dc.subjectSimpsonen_US
dc.titleFractional Newton-type integral inequalities by means of various function classesen_US
dc.typeArticleen_US

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