Complex Perturbed Bernstein-Schurer-Type Operators

Year 2025, Volume: 38 Issue: 4, 2065 - 2077, 01.12.2025

Nursel Çetin

https://doi.org/10.35378/gujs.1598374

Abstract

In the present paper, we describe a new generalization of complex Bernstein-Schurer operators. We attain quantitative upper estimates for the convergence, lower estimates from a qualitative Voronovskaya type result and afterwards establish the exact degree of simultaneous approximation by the specified operator attached to analytical functions in a disk centered at the origin having radius greater than one.

Keywords

Perturbed Bernstein operator , Complex Bernstein-Schurer operator , Simultaneous approximation , Equivalence

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