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<p>This article presents a new sequence of positive linear operators that results from recent advancements in the area of composition operators. We introduce the moment-generating function and utilize it to compute moments of certain orders. Regarding the convergence, we establish fundamental approximation theorems as well as Voronovskaya-type and Grüss-Voronovskaya-type theorems. Moreover, the difference estimates of the Baskakov-Kantorovich-type and our newly defined composition operators are also provided.</p>

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Some remarks about the convergence of composition operators

  • 期刊论文

  • 出版模式：

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  • 发表日期：

    2025年9月29日

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  • Meenu Rani,
  • Monika Herzog,
  • Brijesh Kumar Grewal

摘要

This article presents a new sequence of positive linear operators that results from recent advancements in the area of composition operators. We introduce the moment-generating function and utilize it to compute moments of certain orders. Regarding the convergence, we establish fundamental approximation theorems as well as Voronovskaya-type and Grüss-Voronovskaya-type theorems. Moreover, the difference estimates of the Baskakov-Kantorovich-type and our newly defined composition operators are also provided.