On generalized Milne type inequalities for new conformable fractional integrals

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dc.authorwosidBUDAK, Hüseyin/CAA-1604-2022en_US
dc.contributor.authorCelika, Baris
dc.contributor.authorBudakb, Huseyin
dc.contributor.authorSeta, Erhan
dc.date.accessioned2024-08-23T16:03:48Z
dc.date.available2024-08-23T16:03:48Z
dc.date.issued2024en_US
dc.departmentDüzce Üniversitesien_US
dc.description.abstractIn this study, we first obtained a new identity for differentiable convex functions with the help of new conformable fractional integrals. Then, using this identity, we proved new Milne-type inequalities for new conformable fractional integrals. In the proofs, we used convexity, Ho center dot lder's inequality and mean power inequality, respectively. In other chapters, we have presented new inequalities for bounded functions, Lipschitzian Functions and functions of bounded variation. The findings of this article are reduced to previously established results in specific cases.en_US
dc.description.sponsorshipOrdu University Scientific Research Projects Coordination Unit (BAP) [B-2212]en_US
dc.description.sponsorshipThis research is supported by Ordu University Scientific Research Projects Coordination Unit (BAP) , Project Number: B-2212.en_US
dc.identifier.doi10.2298/FIL2405807C
dc.identifier.endpage1823en_US
dc.identifier.issn0354-5180
dc.identifier.issue5en_US
dc.identifier.startpage1807en_US
dc.identifier.urihttps://doi.org/10.2298/FIL2405807C
dc.identifier.urihttps://hdl.handle.net/20.500.12684/13895
dc.identifier.volume38en_US
dc.identifier.wosWOS:001126593200001en_US
dc.identifier.wosqualityN/Aen_US
dc.indekslendigikaynakWeb of Scienceen_US
dc.language.isoenen_US
dc.publisherUniv Nis, Fac Sci Mathen_US
dc.relation.ispartofFilomaten_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.subjectMilne type inequalitiesen_US
dc.subjectConvex functionen_US
dc.subjectConformable fractional integralsen_US
dc.subjectBounded functionen_US
dc.subjectFunction of bounded variationen_US
dc.subjectSimpsons Type Inequalitiesen_US
dc.subjectConvex-Functionsen_US
dc.titleOn generalized Milne type inequalities for new conformable fractional integralsen_US
dc.typeArticleen_US

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