Hermite-Hadamard inequalities for left fractional conformable integral operator

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dc.contributor.authorBudak, Huseyin
dc.contributor.authorOzmen, Nejla
dc.date.accessioned2025-10-11T20:48:02Z
dc.date.available2025-10-11T20:48:02Z
dc.date.issued2025
dc.departmentDüzce Üniversitesien_US
dc.description.abstractIn this paper, we first establish the Hermite-Hadamard inequality for left fractional conformable integral operators. Then, we present an example and a graph to illustrate the obtained Hermite-Hadamard inequalities. Moreover, we also present several corresponding trapezoid and midpoint inequalities. For this aim, we first prove two identities for differentiable functions. By using these equalities, we establish some trapezoid- and midpoint-type inequalities for convex functions. Furthermore, we present several remarks to give the relation between the obtained results in this paper and earlier ones.en_US
dc.identifier.doi10.1186/s13661-025-02096-6
dc.identifier.issn1687-2770
dc.identifier.issue1en_US
dc.identifier.scopus2-s2.0-105011077294en_US
dc.identifier.scopusqualityQ1en_US
dc.identifier.urihttps://doi.org/10.1186/s13661-025-02096-6
dc.identifier.urihttps://hdl.handle.net/20.500.12684/21720
dc.identifier.volume2025en_US
dc.identifier.wosWOS:001531125900001en_US
dc.identifier.wosqualityQ1en_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/closedAccessen_US
dc.snmzKA_WOS_20250911
dc.subjectBeta functionen_US
dc.subjectFractional conformable integral operatorsen_US
dc.subjectHermite-Hadamard-type inequalitiesen_US
dc.subjectIncomplete beta functionen_US
dc.titleHermite-Hadamard inequalities for left fractional conformable integral operatoren_US
dc.typeArticleen_US

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