On a new version of Hermite-Hadamard-type inequality based on proportional Caputo-hybrid operator

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dc.authorscopusid57038486800en_US
dc.authorscopusid55796994400en_US
dc.contributor.authorTunc, Tuba
dc.contributor.authorDemir, Izzettin
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 mathematics and the applied sciences, as a very useful tool, fractional calculus is a basic concept. Furthermore, in many areas of mathematics, it is better to use a new hybrid fractional operator, which combines the proportional and Caputo operators. So we concentrate on the proportional Caputo-hybrid operator because of its numerous applications. In this research, we introduce a novel extension of the Hermite-Hadamard-type inequalities for proportional Caputo-hybrid operator and establish an identity. Then, taking into account this novel generalized identity, we develop some integral inequalities associated with the left-side of Hermite-Hadamard-type inequalities for proportional Caputo-hybrid operator. Moreover, to illustrate the newly established inequalities, we give some examples with the help of graphs.en_US
dc.identifier.doi10.1186/s13661-024-01852-4
dc.identifier.issn1687-2770
dc.identifier.issue1en_US
dc.identifier.scopus2-s2.0-85188778866en_US
dc.identifier.scopusqualityQ3en_US
dc.identifier.urihttps://doi.org/10.1186/s13661-024-01852-4
dc.identifier.urihttps://hdl.handle.net/20.500.12684/14057
dc.identifier.volume2024en_US
dc.identifier.wosWOS:001195391100004en_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.subjectHermite-Hadamard-type inequalitiesen_US
dc.subjectMidpoint-type inequalitiesen_US
dc.subjectConvex functionsen_US
dc.subjectRiemann-Liouville fractional integralsen_US
dc.subjectProportional Caputo-hybrid operatoren_US
dc.subjectDifferentiable Mappingsen_US
dc.subjectFractional Derivativesen_US
dc.subjectReal Numbersen_US
dc.titleOn a new version of Hermite-Hadamard-type inequality based on proportional Caputo-hybrid operatoren_US
dc.typeArticleen_US

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