Quantitative q-Voronovskaya and q-Gruss-Voronovskaya-type results for q-Szasz operators

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dc.contributor.authorAcar, Tuncer
dc.date.accessioned2020-06-25T18:16:03Z
dc.date.available2020-06-25T18:16:03Z
dc.date.issued2016
dc.departmentKırıkkale Üniversitesi
dc.descriptionAcar, Tuncer/0000-0003-0982-9459
dc.description.abstractIn the present paper, we mainly study quantitative Voronovskaya-type theorems for q-Szasz operators defined in [19]. We consider weighted spaces of functions and the corresponding weighted modulus of continuity. We obtain the quantitative q-Voronovskaya-type theorem and the q-Gruss-Voronovskaya-type theorem in terms of the weighted modulus of continuity of q-derivatives of the approximated function. In this way, we either obtain the rate of pointwise convergence of q-Szasz operators or we present these results for a subspace of continuous functions, although the classical ones are valid for differentiable functions.en_US
dc.identifier.citationclosedAccessen_US
dc.identifier.doi10.1515/gmj-2016-0007
dc.identifier.endpage468en_US
dc.identifier.issn1072-947X
dc.identifier.issn1572-9176
dc.identifier.issue4en_US
dc.identifier.scopus2-s2.0-84994517599
dc.identifier.scopusqualityQ2
dc.identifier.startpage459en_US
dc.identifier.urihttps://doi.org/10.1515/gmj-2016-0007
dc.identifier.urihttps://hdl.handle.net/20.500.12587/6399
dc.identifier.volume23en_US
dc.identifier.wosWOS:000387133200001
dc.identifier.wosqualityQ4
dc.indekslendigikaynakWeb of Science
dc.indekslendigikaynakScopus
dc.language.isoen
dc.publisherWalter De Gruyter Gmbhen_US
dc.relation.ispartofGeorgian Mathematical Journal
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.subjectq-Szasz operatorsen_US
dc.subjectVoronovskaya-type theoremen_US
dc.subjectweighted modulus of continuityen_US
dc.subjectq-Gruss-Voronovskaya-type theoremen_US
dc.titleQuantitative q-Voronovskaya and q-Gruss-Voronovskaya-type results for q-Szasz operatorsen_US
dc.typeArticle

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