New midpoint-type inequalities in the context of the proportional Caputo-hybrid operator

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dc.authorscopusid55796994400en_US
dc.authorscopusid57038486800en_US
dc.authorwosidTunç, Tuba/HZM-3774-2023en_US
dc.contributor.authorDemir, Izzettin
dc.contributor.authorTunc, Tuba
dc.date.accessioned2024-08-23T16:04:05Z
dc.date.available2024-08-23T16:04:05Z
dc.date.issued2024en_US
dc.departmentDüzce Üniversitesien_US
dc.description.abstractFractional calculus is a crucial foundation in mathematics and applied sciences, serving as an extremely valuable tool. Besides, the new hybrid fractional operator, which combines proportional and Caputo operators, offers better applications in numerous fields of mathematics and computer sciences. Due to its wide range of applications, we focus on the proportional Caputo-hybrid operator in this research article. Firstly, we begin by establishing a novel identity for this operator. Then, based on the newfound identity, we establish some integral inequalities that are relevant to the left-hand side of Hermite-Hadamard-type inequalities for the proportional Caputo-hybrid operator. Furthermore, we show how the results improve upon and refine many previous findings in the setting of integral inequalities. Later, we present specific examples together with their related graphs to offer a better understanding of the newly obtained inequalities. Our results not only extend previous studies but also provide valuable viewpoints and methods for tackling a wide range of mathematical and scientific problems.en_US
dc.identifier.doi10.1186/s13660-023-03075-0
dc.identifier.issn1029-242X
dc.identifier.issue1en_US
dc.identifier.scopus2-s2.0-85181928059en_US
dc.identifier.scopusqualityQ2en_US
dc.identifier.urihttps://doi.org/10.1186/s13660-023-03075-0
dc.identifier.urihttps://hdl.handle.net/20.500.12684/14061
dc.identifier.volume2024en_US
dc.identifier.wosWOS:001139352600001en_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.subjectHermite-Hadamard-type inequalitiesen_US
dc.subjectMidpoint-type inequalitiesen_US
dc.subjectConvex functionsen_US
dc.subjectProportional Caputo-hybrid operatoren_US
dc.subjectDifferentiable Mappingsen_US
dc.subjectFractional Derivativesen_US
dc.subjectReal Numbersen_US
dc.titleNew midpoint-type inequalities in the context of the proportional Caputo-hybrid operatoren_US
dc.typeArticleen_US

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