Cilt:69 Sayı:01 (2020)

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https://dspace.ankara.edu.tr/handle/20.500.12575/75966

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Browsing Cilt:69 Sayı:01 (2020) by Subject "Bézier bases"

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    On new Bézier bases with Schurer polynomials and corresponding results in approximation theory
    (Ankara Üniversitesi Fen Fakültesi, 2020-06-30) Özger, Faruk; Özger, Faruk; Other; Other
    A new type Bézier bases with λ shape parameters have been defined ye. We slightly modify these bases to establish new Bézier bases with Schurer polynomials and λ shape parameters. We construct a new type Schurer operators via defined new Bézier-Schurer bases. Also, we study statistical convergence properties of these operators and obtain an estimate for the rate of weighted A-statistical convergence. Moreover, we prove two Voronovskaja-type theorems including a Voronovskaja-type approximation theorem using weighted A-statistical convergence.