A comprehensive study on Milne-type inequalities with tempered fractional integrals

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dc.authorscopusid58977911500en_US
dc.authorscopusid57038541500en_US
dc.authorscopusid58978437000en_US
dc.authorscopusid55577228500en_US
dc.authorscopusid55743141400en_US
dc.authorwosidBUDAK, Hüseyin/CAA-1604-2022en_US
dc.contributor.authorHaider, Wali
dc.contributor.authorBudak, Huseyin
dc.contributor.authorShehzadi, Asia
dc.contributor.authorHezenci, Fatih
dc.contributor.authorChen, Haibo
dc.date.accessioned2024-08-23T16:04:04Z
dc.date.available2024-08-23T16:04:04Z
dc.date.issued2024en_US
dc.departmentDüzce Üniversitesien_US
dc.description.abstractIn the framework of tempered fractional integrals, we obtain a fundamental identity for differentiable convex functions. By employing this identity, we derive several modifications of fractional Milne inequalities, providing novel extensions to the domain of tempered fractional integrals. The research comprehensively examines significant functional classes, including convex functions, bounded functions, Lipschitzian functions, and functions of bounded variation.en_US
dc.identifier.doi10.1186/s13661-024-01855-1
dc.identifier.issn1687-2770
dc.identifier.issue1en_US
dc.identifier.scopus2-s2.0-85189895417en_US
dc.identifier.scopusqualityQ3en_US
dc.identifier.urihttps://doi.org/10.1186/s13661-024-01855-1
dc.identifier.urihttps://hdl.handle.net/20.500.12684/14056
dc.identifier.volume2024en_US
dc.identifier.wosWOS:001199720800001en_US
dc.identifier.wosqualityN/Aen_US
dc.indekslendigikaynakWeb of Scienceen_US
dc.indekslendigikaynakScopusen_US
dc.language.isoenen_US
dc.publisherSpringeren_US
dc.relation.ispartofBoundary Value Problemsen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.subjectInequalities of Milne typeen_US
dc.subjectFractional versionen_US
dc.subjectTempered fractional integralsen_US
dc.subjectConvex functionsen_US
dc.subjectDifferentiable Mappingsen_US
dc.titleA comprehensive study on Milne-type inequalities with tempered fractional integralsen_US
dc.typeArticleen_US

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