A new construction of Szasz-Mirakyan operators

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dc.contributor.authorAral, Ali
dc.contributor.authorUlusoy, Gulsum
dc.contributor.authorDeniz, Emre
dc.date.accessioned2020-06-25T18:29:45Z
dc.date.available2020-06-25T18:29:45Z
dc.date.issued2018
dc.departmentKırıkkale Üniversitesi
dc.descriptionDeniz, Emre/0000-0003-0546-4229
dc.description.abstractThe paper aims to study a generalization of Szasz-Mirakyan-type operators such that their construction depends on a function rho by using two sequences of functions. To show how the function rho play a crucial role in the design of the operator, we reconstruct the mentioned operators which preserve exactly two test functions from the set . We show that these operators provide weighted uniform approximation over unbounded interval. We establish the degree of approximation in terms of a weighted moduli of smoothness associated with the function rho. Also a Voronovskaya type result is presented. Finally some graphical examples of the mentioned operators are given. Our results show that mentioned operators are sensitive or flexible to point of wive of the rate of convergence to f, depending on our selection of rho.en_US
dc.identifier.citationclosedAccessen_US
dc.identifier.doi10.1007/s11075-017-0317-x
dc.identifier.endpage326en_US
dc.identifier.issn1017-1398
dc.identifier.issn1572-9265
dc.identifier.issue2en_US
dc.identifier.scopus2-s2.0-85016434153
dc.identifier.scopusqualityQ1
dc.identifier.startpage313en_US
dc.identifier.urihttps://doi.org/10.1007/s11075-017-0317-x
dc.identifier.urihttps://hdl.handle.net/20.500.12587/7450
dc.identifier.volume77en_US
dc.identifier.wosWOS:000423042200001
dc.identifier.wosqualityQ1
dc.indekslendigikaynakWeb of Science
dc.indekslendigikaynakScopus
dc.language.isoen
dc.publisherSpringeren_US
dc.relation.ispartofNumerical Algorithms
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.subjectSzasz-Mirakyan-type operatorsen_US
dc.subjectKing-type operatorsen_US
dc.subjectVoronovskaya type theoremen_US
dc.subjectKorovkin-type theoremen_US
dc.subjectWeighted modulus of continuityen_US
dc.subjectPositive linear operatorsen_US
dc.titleA new construction of Szasz-Mirakyan operatorsen_US
dc.typeArticle

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