Convex Functions on Discrete Time Domains

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dc.contributor.authorAtıcı, Ferhan M.
dc.contributor.authorYaldız, Hatice
dc.date.accessioned2020-04-30T22:41:44Z
dc.date.available2020-04-30T22:41:44Z
dc.date.issued2016
dc.departmentDÜ, Fen-Edebiyat Fakültesi, Matematik Bölümüen_US
dc.descriptionWOS: 000376215100001en_US
dc.description.abstractIn this paper, we introduce the definition of a convex real valued function f defined on the set of integers, Z. We prove that f is convex on Z if and only if Delta(2)f >= 0 on Z. As a first application of this new concept, we state and prove discrete Hermite-Hadamard inequality using the basics of discrete calculus (i.e., the calculus on Z). Second, we state and prove the discrete fractional Hermite-Hadamard inequality using the basics of discrete fractional calculus. We close the paper by defining the convexity of a real valued function on any time scale.en_US
dc.description.sponsorshipTUBITAK International Doctoral Research Fellowship Programme [2214-A, 1059B141400726]en_US
dc.description.sponsorshipThe second author greatly acknowledges the financial support received as a part of a fellowship program (TUBITAK 2214-A International Doctoral Research Fellowship Programme with project number 1059B141400726) while she was visiting the department of Mathematics at Western Kentucky University.en_US
dc.identifier.doi10.4153/CMB-2015-065-6en_US
dc.identifier.endpage233en_US
dc.identifier.issn0008-4395
dc.identifier.issn1496-4287
dc.identifier.issue2en_US
dc.identifier.scopusqualityQ2en_US
dc.identifier.startpage225en_US
dc.identifier.urihttps://doi.org/10.4153/CMB-2015-065-6
dc.identifier.urihttps://hdl.handle.net/20.500.12684/3240
dc.identifier.volume59en_US
dc.identifier.wosWOS:000376215100001en_US
dc.identifier.wosqualityQ3en_US
dc.indekslendigikaynakWeb of Scienceen_US
dc.indekslendigikaynakScopusen_US
dc.language.isoenen_US
dc.publisherCanadian Mathematical Socen_US
dc.relation.ispartofCanadian Mathematical Bulletin-Bulletin Canadien De Mathematiquesen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.subjectdiscrete calculusen_US
dc.subjectdiscrete fractional calculusen_US
dc.subjectconvex functionsen_US
dc.subjectdiscrete Hermite-Hadamard inequalityen_US
dc.titleConvex Functions on Discrete Time Domainsen_US
dc.typeArticleen_US

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