Bullen-type inequalities for twice-differentiable functions by using conformable fractional integrals

dc.authorscopusid55577228500en_US
dc.authorscopusid57038541500en_US
dc.authorwosidBUDAK, Hüseyin/CAA-1604-2022en_US
dc.contributor.authorHezenci, Fatih
dc.contributor.authorBudak, Hueseyin
dc.date.accessioned2024-08-23T16:04:05Z
dc.date.available2024-08-23T16:04:05Z
dc.date.issued2024en_US
dc.departmentDüzce Üniversitesien_US
dc.description.abstractIn this paper, we prove an equality for twice-differentiable convex functions involving the conformable fractional integrals. Moreover, several Bullen-type inequalities are established for twice-differentiable functions. More precisely, conformable fractional integrals are used to derive such inequalities. Furthermore, sundry significant inequalities are obtained by taking advantage of the convexity, Holder inequality, and power-mean inequality. Finally, we provide our results by using special cases of obtained theorems.en_US
dc.identifier.doi10.1186/s13660-024-03130-4
dc.identifier.issn1029-242X
dc.identifier.issue1en_US
dc.identifier.scopus2-s2.0-85189144080en_US
dc.identifier.scopusqualityQ2en_US
dc.identifier.urihttps://doi.org/10.1186/s13660-024-03130-4
dc.identifier.urihttps://hdl.handle.net/20.500.12684/14060
dc.identifier.volume2024en_US
dc.identifier.wosWOS:001197235000001en_US
dc.identifier.wosqualityN/Aen_US
dc.indekslendigikaynakWeb of Scienceen_US
dc.indekslendigikaynakScopusen_US
dc.language.isoenen_US
dc.publisherSpringeren_US
dc.relation.ispartofJournal of Inequalities And Applicationsen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.subjectBullen-type inequalitiesen_US
dc.subjectConvex functionsen_US
dc.subjectFractional integralsen_US
dc.subjectRiemann-Liouville fractional integralsen_US
dc.subjectConformable fractional integralsen_US
dc.subjectHadamarden_US
dc.titleBullen-type inequalities for twice-differentiable functions by using conformable fractional integralsen_US
dc.typeArticleen_US

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