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This paper focuses on investigating the ability of the tensor product type bivariate complex Schurer–Stancu operators to approximate analytic functions on compact polydisks. The study derives the simultaneous approximation order and Voronovskaja-type outcomes for these polynomials using a qualitative estimate. The results provide insights into the accuracy of these polynomials in approximating analytic functions and their associated compact polydisks.

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Approximation by Bivariate Complex Stancu–Schurer Polynomials in Compact Disks

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  • 发表日期：

    2025年

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  • Nesibe Manav Mutlu

摘要

This paper focuses on investigating the ability of the tensor product type bivariate complex Schurer–Stancu operators to approximate analytic functions on compact polydisks. The study derives the simultaneous approximation order and Voronovskaja-type outcomes for these polynomials using a qualitative estimate. The results provide insights into the accuracy of these polynomials in approximating analytic functions and their associated compact polydisks.