Approximation properties of complex q-Szasz-Mirakjan operators in compact disks

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dc.contributor.authorMahmudov, N. I.
dc.date.accessioned2026-02-06T18:37:20Z
dc.date.issued2010
dc.departmentDoğu Akdeniz Üniversitesi
dc.description.abstractThis paper deals with approximating properties of the newly defined q-generalization of the Szasz-Mirakjan operators in the case q > 1. Quantitative estimates of the convergence, the Voronovskaja's theorem and saturation of convergence for complex q-Szasz-Mirakjan operators attached to analytic functions in compact disks are given. In particular, it is proved that for functions analytic in {z is an element of C : vertical bar Z vertical bar < R}, R > 2q, the rate of approximation by the q-Szasz-Mirakjan operators (q > 1) is of order q(-n) versus 1/n for the classical Szasz-Mirakjan operators. (C) 2010 Elsevier Ltd. All rights reserved.
dc.identifier.doi10.1016/j.camwa.2010.07.009
dc.identifier.endpage1791
dc.identifier.issn0898-1221
dc.identifier.issue6
dc.identifier.scopus2-s2.0-78049441238
dc.identifier.scopusqualityQ1
dc.identifier.startpage1784
dc.identifier.urihttps://doi.org/10.1016/j.camwa.2010.07.009
dc.identifier.urihttps://hdl.handle.net/11129/12420
dc.identifier.volume60
dc.identifier.wosWOS:000281979800024
dc.identifier.wosqualityQ1
dc.indekslendigikaynakWeb of Science
dc.indekslendigikaynakScopus
dc.language.isoen
dc.publisherPergamon-Elsevier Science Ltd
dc.relation.ispartofComputers & Mathematics With Applications
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/closedAccess
dc.snmzKA_WoS_20260204
dc.subjectq-Szasz-Mirakjan operator
dc.subjectComplex approximation
dc.subjectVoronovskaja-type result
dc.titleApproximation properties of complex q-Szasz-Mirakjan operators in compact disks
dc.typeArticle

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