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<p>In this paper, we introduce a new generalization of complex Stancu operators and study some approximation properties of these operators attached to analytic functions in an open disk centered at the origin. At first, we obtain upper quantitative estimates for the convergence and then give lower estimates from a qualitative Voronovskaja type theorem. Finally, we establish the exact degree of simultaneous approximation with the help of upper and lower estimates.</p>

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A new generalization of complex perturbed Bernstein-type operators

  • 期刊论文

  • 发表日期：

    2025年5月17日

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  • Nursel Çetin,
  • Voichiţa Adriana Radu

摘要

In this paper, we introduce a new generalization of complex Stancu operators and study some approximation properties of these operators attached to analytic functions in an open disk centered at the origin. At first, we obtain upper quantitative estimates for the convergence and then give lower estimates from a qualitative Voronovskaja type theorem. Finally, we establish the exact degree of simultaneous approximation with the help of upper and lower estimates.