Approximation properties of Szasz-Mirakyan operators preserving exponential functions

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dc.contributor.authorAral, Ali
dc.contributor.authorInoan, Daniela
dc.contributor.authorRasa, Ioan
dc.date.accessioned2020-06-25T18:34:20Z
dc.date.available2020-06-25T18:34:20Z
dc.date.issued2019
dc.departmentKırıkkale Üniversitesi
dc.description.abstractThis paper is a natural continuation of Acar et al. (Mediterr J Math 14:6, 2017, 10.1007/s00009-016-0804-7) where Szasz-Mirakyan operators preserving exponential functions are defined. As a first result, we show that the sequence of the norms of the operators, acting on weighted spaces having different weights, is uniformly bounded. Then, we prove Korovkin type approximation theorems through exponential weighted convergence. The uniform weighted approximation errors of the operators and their derivatives are characterized for exponential weights. Furthermore we give a Voronovskaya type theorem for the derivative of the operators.en_US
dc.identifier.citationclosedAccessen_US
dc.identifier.doi10.1007/s11117-018-0604-3
dc.identifier.endpage246en_US
dc.identifier.issn1385-1292
dc.identifier.issn1572-9281
dc.identifier.issue1en_US
dc.identifier.scopus2-s2.0-85051679855
dc.identifier.scopusqualityQ2
dc.identifier.startpage233en_US
dc.identifier.urihttps://doi.org/10.1007/s11117-018-0604-3
dc.identifier.urihttps://hdl.handle.net/20.500.12587/7872
dc.identifier.volume23en_US
dc.identifier.wosWOS:000458123500017
dc.identifier.wosqualityQ2
dc.indekslendigikaynakWeb of Science
dc.indekslendigikaynakScopus
dc.language.isoen
dc.publisherSpringeren_US
dc.relation.ispartofPositivity
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.subjectSzasz-Mirakyan operatorsen_US
dc.subjectWeighted modulus of continuityen_US
dc.subjectUniform convergenceen_US
dc.subjectVoronovskaya type theoremen_US
dc.titleApproximation properties of Szasz-Mirakyan operators preserving exponential functionsen_US
dc.typeArticle

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