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In this chapter, we aim to study some direct theorems and local approximation results of a family of Kantorovich operators including 2D Appell polynomials. Next, we establish a connection between summability methods, and the statistical convergence of the related operators. Moreover, we investigate certain graphical examples to show the accuracy and efficiency of the proposed operators in terms of selected parameters.

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Convergence of a Class of Szász–Kantorovich Operators Based on 2D Appell Polynomials

  • 章节

  • 发表日期：

    2025年

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  • Mahvish Ali,
  • Reşat Aslan,
  • Faruk Özger

摘要

In this chapter, we aim to study some direct theorems and local approximation results of a family of Kantorovich operators including 2D Appell polynomials. Next, we establish a connection between summability methods, and the statistical convergence of the related operators. Moreover, we investigate certain graphical examples to show the accuracy and efficiency of the proposed operators in terms of selected parameters.