q-Hermite Hadamard inequalities and quantum estimates for midpoint type inequalities via convex and quasi-convex functions

dc.contributor.authorAlp, Necmettin
dc.contributor.authorSarıkaya, Mehmet Zeki
dc.contributor.authorKunt, Mehmet
dc.contributor.authorİşcan, İmdat
dc.date.accessioned2020-04-30T23:31:33Z
dc.date.available2020-04-30T23:31:33Z
dc.date.issued2018
dc.departmentDÜ, Fen-Edebiyat Fakültesi, Matematik Bölümüen_US
dc.descriptioniscan, imdat/0000-0001-6749-0591; Kunt, Mehmet/0000-0002-8730-5370en_US
dc.descriptionWOS: 000429915900008en_US
dc.description.abstractIn this paper, we prove the correct q-Hermite-Hadamard inequality, some new q-Hermite-Hadamard inequalities, and generalized q-Hermite-Hadamard inequality. By using the left hand part of the correct q-Hermite-Hadamard inequality, we have a new equality. Finally using the new equality, we give some q-midpoint type integral inequalities through q-differentiable convex and q-differentiable quasi-convex functions. Many results given in this paper provide extensions of others given in previous works. (C) 2016 The Authors. Production and hosting by Elsevier B.V.en_US
dc.identifier.doi10.1016/j.jksus.2016.09.007en_US
dc.identifier.endpage203en_US
dc.identifier.issn1018-3647
dc.identifier.issn2213-686X
dc.identifier.issue2en_US
dc.identifier.scopusqualityQ1en_US
dc.identifier.startpage193en_US
dc.identifier.urihttps://doi.org/10.1016/j.jksus.2016.09.007
dc.identifier.urihttps://hdl.handle.net/20.500.12684/4291
dc.identifier.volume30en_US
dc.identifier.wosWOS:000429915900008en_US
dc.identifier.wosqualityQ2en_US
dc.indekslendigikaynakWeb of Scienceen_US
dc.indekslendigikaynakScopusen_US
dc.language.isoenen_US
dc.publisherElsevier Science Bven_US
dc.relation.ispartofJournal Of King Saud University Scienceen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.subjectHermite-Hadamard inequalityen_US
dc.subjectMidpoint type inequalityen_US
dc.subjectq-Integral inequalitiesen_US
dc.subjectq-Derivativeen_US
dc.subjectq-Integrationen_US
dc.subjectConvexityen_US
dc.subjectQuasi-convexityen_US
dc.titleq-Hermite Hadamard inequalities and quantum estimates for midpoint type inequalities via convex and quasi-convex functionsen_US
dc.typeArticleen_US

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