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In this study, we investigate some approximation properties of a new generalization of Bernstein–Schurer operators. Firstly, we give a uniform approximation result and the rate of convergence by means of modulus of continuity. Then, we obtain Voronovskaja and Grüss–Voronovskaja type results. Finally, we demonstrate some numerical examples relevant to our results.

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Approximation by Generalization of Bernstein–Schurer Operators

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  • 发表日期：

    2025年

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  • Nursel Çetin,
  • Nesibe Manav Mutlu

摘要

In this study, we investigate some approximation properties of a new generalization of Bernstein–Schurer operators. Firstly, we give a uniform approximation result and the rate of convergence by means of modulus of continuity. Then, we obtain Voronovskaja and Grüss–Voronovskaja type results. Finally, we demonstrate some numerical examples relevant to our results.