On gauss-weierstrass type integral operators

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dc.contributor.authorAnastassiou G.A.
dc.contributor.authorAral A.
dc.date.accessioned2020-06-25T15:14:30Z
dc.date.available2020-06-25T15:14:30Z
dc.date.issued2010
dc.departmentKırıkkale Üniversitesi
dc.description.abstractIn this paper, we introduce a generalization of Gauss-Weierstrass operators based on q-integers using the q-integral and we call them q-Gauss-Weierstrass integral operators. For these operators, we obtain a convergence property in a weighted function space using Korovkin theory. Then we estimate the rate of convergence of these operators in terms of a weighted modulus of continuity. We also prove optimal global smoothness preservation property of these operators. © 2010 Warsaw University. All rights reserved.en_US
dc.identifier.endpage849en_US
dc.identifier.issn04201213
dc.identifier.issue4en_US
dc.identifier.scopus2-s2.0-85053136503
dc.identifier.scopusqualityQ1
dc.identifier.startpage841en_US
dc.identifier.urihttps://hdl.handle.net/20.500.12587/2128
dc.identifier.volume43en_US
dc.indekslendigikaynakScopus
dc.language.isoen
dc.publisherWalter de Gruyter GmbHen_US
dc.relation.ispartofDemonstratio Mathematica
dc.relation.publicationcategoryMakale - Ulusal Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.subjectGauss-Weierstrass operatorsen_US
dc.subjectQ-derivativeen_US
dc.subjectQ-integralen_US
dc.subjectQexponential functionsen_US
dc.subjectWeighted approximationen_US
dc.titleOn gauss-weierstrass type integral operatorsen_US
dc.typeArticle

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