On the Generalized Szasz-Mirakyan Operators

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dc.contributor.authorAral, A.
dc.contributor.authorInoan, D.
dc.contributor.authorRasa, I.
dc.date.accessioned2020-06-25T18:12:12Z
dc.date.available2020-06-25T18:12:12Z
dc.date.issued2014
dc.departmentKırıkkale Üniversitesi
dc.descriptionInoan, Daniela/0000-0003-4666-1480; Rasa, Ioan/0000-0002-5206-030X
dc.description.abstractIn this paper, we construct sequences of Szasz-Mirakyan operators which are based on a function.. This function not only characterizes the operators but also characterizes the Korovkin set {1, rho, rho(2)} in a weighted function space. We give theorems about convergence of these operators to the identity operator on weighted spaces which are constructed using the function rho and which are subspaces of the space of continuous functions on R+. We give quantitative type theorems in order to obtain the degree of weighted convergence with the help of a weighted modulus of continuity constructed using the function rho Further, we prove some shape-preserving properties of the operators such as the rho-convexity and the monotonicity. Our results generalize the corresponding ones for the classical Szasz operators.en_US
dc.identifier.citationclosedAccessen_US
dc.identifier.doi10.1007/s00025-013-0356-0
dc.identifier.endpage452en_US
dc.identifier.issn1422-6383
dc.identifier.issn1420-9012
dc.identifier.issue3-4en_US
dc.identifier.scopus2-s2.0-84899985230
dc.identifier.scopusqualityQ2
dc.identifier.startpage441en_US
dc.identifier.urihttps://doi.org/10.1007/s00025-013-0356-0
dc.identifier.urihttps://hdl.handle.net/20.500.12587/5805
dc.identifier.volume65en_US
dc.identifier.wosWOS:000335749500012
dc.identifier.wosqualityQ1
dc.indekslendigikaynakWeb of Science
dc.indekslendigikaynakScopus
dc.language.isoen
dc.publisherSpringer Basel Agen_US
dc.relation.ispartofResults In Mathematics
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.subjectGeneralized Szasz-Mirakyan operatorsen_US
dc.subjectweighted approximationen_US
dc.subjectweighted modulus of continuityen_US
dc.subjectshape preserving propertiesen_US
dc.titleOn the Generalized Szasz-Mirakyan Operatorsen_US
dc.typeArticle

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