New integral inequalities for s-convex functions of the second sense via the caputo fractional derivative and the caputo–fabrizio integral operator

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dc.contributor.authorKemalı, Serap
dc.contributor.authorTinaztepe, Gülteki?n
dc.contributor.authorYeşi?lce Işık, İlknur
dc.contributor.authorSezer Evcan, Si?nem
dc.date.accessioned2023-10-13T12:32:18Z
dc.date.available2023-10-13T12:32:18Z
dc.date.issued2023
dc.departmentSabire Yazıcı Fen Edebiyat Fakültesi
dc.description.abstractVarious integral inequalities for s-convex functions in the second sense are obtained by means of the Caputo fractional derivative and the Caputo–Fabrizio integral operator. Some generalizations of the Hermite–Hadamard type inequalities including the Caputo–Fabrizio integral operator are expressed for the functions whose derivatives are s-convex. Moreover, some inequalities involving these fractional operators are stated for the product of these functions. Inequalities involving special means and the digamma function are given as applications.
dc.identifier.doi10.1216/rmj.2023.53.1177
dc.identifier.endpage1188en_US
dc.identifier.issn0035-7596
dc.identifier.issue4en_US
dc.identifier.scopusqualityQ3
dc.identifier.startpage1177en_US
dc.identifier.urihttps:/dx.doi.org10.1216/rmj.2023.53.1177
dc.identifier.urihttps://hdl.handle.net/20.500.12451/11169
dc.identifier.volume53en_US
dc.identifier.wosWOS:001071325400011
dc.identifier.wosqualityQ2
dc.indekslendigikaynakWeb of Science
dc.indekslendigikaynakScopus
dc.language.isoen
dc.publisherRocky Mountain Mathematics Consortium
dc.relation.ispartofRocky Mountain Journal of Mathematics
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/closedAccess
dc.subjectCaputo Fractional Derivatives
dc.subjectCaputo–Fabrizio Integral Operator
dc.subjectConvex Functions
dc.subjectHermite–Hadamard Type Inequality
dc.subjectS-convexity
dc.subjectSpecials Means
dc.titleNew integral inequalities for s-convex functions of the second sense via the caputo fractional derivative and the caputo–fabrizio integral operator
dc.typeArticle

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