On statistical approximation properties of modified \(q\)-Bernstein-Schurer operators (Q2843788)

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scientific article; zbMATH DE number 6201378
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On statistical approximation properties of modified \(q\)-Bernstein-Schurer operators
scientific article; zbMATH DE number 6201378

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    26 August 2013
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    modified \(q\)-Bernstein-Schurer operators
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    statistical approximation property
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    modulus of continuity
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    rate of statistical convergence
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    Voronovskaja type result
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    On statistical approximation properties of modified \(q\)-Bernstein-Schurer operators (English)
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    The \(q\)-Bernstein-Schurer operators introduced in 2011 by Muraru are suitably adapted by the authors to statistical approximation. It is done by standard Korokvin-type methods; the rate of convergence therein is also proved.
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