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<p>This paper deals with some behavior of Baskakov-Schurer-Stancu type operators in approximating functions, grounded on non-negative parameter <i>α</i>. Firstly, we establish some needed moment estimations. Next, according to the famous Korovkin theorem we prove weighted approximation result of proposed operators. Also, we provide rate of convergence of these operators and as well as pointwise convergence theorems. Lastly, to demonstrate the efficiency and consistency of the operators, we provide some graphical representations.</p>

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On approximation properties of α-Baskakov-Schurer-Stancu operators: graphical investigations

  • 期刊论文

  • 出版模式：

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  • 发表日期：

    2025年10月15日

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  • Jun-Jie Quan,
  • Reşat Aslan,
  • İsmet Yüksel,
  • Nadire Fulda Odabaşı,
  • Qing-Bo Cai

摘要

This paper deals with some behavior of Baskakov-Schurer-Stancu type operators in approximating functions, grounded on non-negative parameter α. Firstly, we establish some needed moment estimations. Next, according to the famous Korovkin theorem we prove weighted approximation result of proposed operators. Also, we provide rate of convergence of these operators and as well as pointwise convergence theorems. Lastly, to demonstrate the efficiency and consistency of the operators, we provide some graphical representations.