q-Voronovskaya type theorems for q-Baskakov operators

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dc.contributor.authorUlusoy, Gulsum
dc.contributor.authorAcar, Tuncer
dc.date.accessioned2020-06-25T18:16:24Z
dc.date.available2020-06-25T18:16:24Z
dc.date.issued2016
dc.departmentKırıkkale Üniversitesi
dc.descriptionAcar, Tuncer/0000-0003-0982-9459
dc.description.abstractIn the present paper, we prove quantitative q-Voronovskaya type theorems for q-Baskakov operators in terms of weighted modulus of continuity. We also present a new form of Voronovskaya theorem, that is, q-Gruss-Voronovskaya type theorem for q-Baskakov operators in quantitative mean. Hence, we describe the rate of convergence and upper bound for the error of approximation, simultaneously. Our results are valid for the subspace of continuous functions although classical ones is valid for differentiable functions. Copyright (c) 2015 John Wiley & Sons, Ltd.en_US
dc.identifier.citationclosedAccessen_US
dc.identifier.doi10.1002/mma.3784
dc.identifier.endpage3401en_US
dc.identifier.issn0170-4214
dc.identifier.issn1099-1476
dc.identifier.issue12en_US
dc.identifier.scopus2-s2.0-84947998048
dc.identifier.scopusqualityQ1
dc.identifier.startpage3391en_US
dc.identifier.urihttps://doi.org/10.1002/mma.3784
dc.identifier.urihttps://hdl.handle.net/20.500.12587/6517
dc.identifier.volume39en_US
dc.identifier.wosWOS:000379947400017
dc.identifier.wosqualityQ2
dc.indekslendigikaynakWeb of Science
dc.indekslendigikaynakScopus
dc.language.isoen
dc.publisherWileyen_US
dc.relation.ispartofMathematical Methods In The Applied Sciences
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.subjectq-Baskakov operatorsen_US
dc.subjectVoronovskaya type theoremen_US
dc.subjectweighted modulus of continuityen_US
dc.subjectq-Gruss-Voronovskaya-type theoremen_US
dc.titleq-Voronovskaya type theorems for q-Baskakov operatorsen_US
dc.typeArticle

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