Hermite-Hadamard, Trapezoid and Midpoint Type Inequalities Involving Generalized Fractional Integrals for Convex Functions

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dc.contributor.authorKara, Hasan
dc.contributor.authorErden, Samet
dc.contributor.authorBudak, Hüseyin
dc.date.accessioned2023-07-26T11:55:04Z
dc.date.available2023-07-26T11:55:04Z
dc.date.issued2023
dc.departmentDÜ, Fen-Edebiyat Fakültesi, Matematik Bölümüen_US
dc.description.abstractWe first construct new Hermite-Hadamard type in-equalities which include generalized fractional integrals for convex functions by using an operator which generates some significant fractional integrals such as Riemann-Liouville fractional and the Hadamard fractional integrals. Afterwards, Trapezoid and Mid-point type results involving generalized fractional integrals for func-tions whose the derivatives in modulus and their certain powers are convex are established. We also recapture the previous results in the particular situations of the inequalities which are given in the earlier works.en_US
dc.identifier.doi10.22130/scma.2022.552775.1102
dc.identifier.endpage107en_US
dc.identifier.issn2423-3900
dc.identifier.issue2en_US
dc.identifier.scopus2-s2.0-85160090223en_US
dc.identifier.startpage85en_US
dc.identifier.urihttps://doi.org/10.22130/scma.2022.552775.1102
dc.identifier.urihttps://hdl.handle.net/20.500.12684/12992
dc.identifier.volume20en_US
dc.identifier.wosWOS:000946176000004en_US
dc.identifier.wosqualityQ2en_US
dc.indekslendigikaynakWeb of Scienceen_US
dc.institutionauthorKara, Hasan; Budak, Hüseyin
dc.language.isoenen_US
dc.publisherUniv Maraghehen_US
dc.relation.ispartofSahand Communications In Mathematical Analysisen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.snmz$2023V1Guncelleme$en_US
dc.subjectHermite-Hadamard Inequalities; Generalized Fractional Integrals; Convex Functionsen_US
dc.subjectFejer Type Inequalities; Differentiable Mappings; Real Numbersen_US
dc.titleHermite-Hadamard, Trapezoid and Midpoint Type Inequalities Involving Generalized Fractional Integrals for Convex Functionsen_US
dc.typeArticleen_US

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