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On Approximation Properties of Generalized q-Bernstein Operators
Authors:Döne Karahan  Aydın Izgi
Affiliation:1. Science and Letter Faculty, Mathematics Department, Harran University, Sanl?urfa, Turkeydkarahan@harran.edu.tr;3. Science and Letter Faculty, Mathematics Department, Harran University, Sanl?urfa, Turkey
Abstract:In this study, we identify a generalization of q-Bernstein type operators and investigate approximation properties of a sequence of these operators . We estimate rate of approximation by modulus of continuity. We prove Voronovskaya type theorem for these operators.
Keywords:Bernstein operator  Korovkin theorem  q-integers  modulus of continuity
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