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<p>In the present paper, we obtain the converse results of approximation of a newly introduced genuine Bernstein-Durrmeyer operators in movable interval. We also get the moments properties of an auxiliary operator which has its own independent values. The moments of the auxiliary operators play important roles in establishing the main result (Theorem 4).</p>

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On approximation of Bernstein-Stancu operators in movable interval

  • 期刊论文

  • 发表日期：

    2025年3月25日

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  • Feng-feng Wagn,
  • Dan-sheng Yu

摘要

In the present paper, we obtain the converse results of approximation of a newly introduced genuine Bernstein-Durrmeyer operators in movable interval. We also get the moments properties of an auxiliary operator which has its own independent values. The moments of the auxiliary operators play important roles in establishing the main result (Theorem 4).