Novel results of Milne-type inequalities involving tempered fractional integrals

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dc.authorscopusid55577228500en_US
dc.authorscopusid57038541500en_US
dc.authorscopusid57208224500en_US
dc.authorscopusid58136377200en_US
dc.authorwosidBas, Umut/KXS-0509-2024en_US
dc.authorwosidHezenci, Fatih/KFB-5970-2024en_US
dc.authorwosidBUDAK, Hüseyin/CAA-1604-2022en_US
dc.contributor.authorHezenci, Fatih
dc.contributor.authorBudak, Huseyin
dc.contributor.authorKara, Hasan
dc.contributor.authorBas, Umut
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 current research, we focus on the domain of tempered fractional integrals, establishing a novel identity that serves as the cornerstone of our study. This identity paves the way for the Milne-type inequalities, which are explored through the framework of differentiable convex mappings inclusive of tempered fractional integrals. The significance of these mappings in the realm of fractional calculus is underscored by their ability to extend classical concepts into more complex, fractional dimensions. In addition, by using the Holder inequality and power-mean inequality, we acquire some new Milne-type inequalities. Moreover, the practicality and theoretical relevance of our findings are further demonstrated through the application of specific cases derived from the theorems.en_US
dc.identifier.doi10.1186/s13661-023-01818-y
dc.identifier.issn1687-2770
dc.identifier.issue1en_US
dc.identifier.scopus2-s2.0-85182642803en_US
dc.identifier.scopusqualityQ3en_US
dc.identifier.urihttps://doi.org/10.1186/s13661-023-01818-y
dc.identifier.urihttps://hdl.handle.net/20.500.12684/14058
dc.identifier.volume2024en_US
dc.identifier.wosWOS:001145340000001en_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.subjectMilne-type inequalityen_US
dc.subjectTempered fractional integralsen_US
dc.subjectConvex functionsen_US
dc.titleNovel results of Milne-type inequalities involving tempered fractional integralsen_US
dc.typeArticleen_US

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