Abstract

The purpose of this paper is to study the exact order of approximation and Voronovskaja type results with quantitative estimates for the complex \(q\)-modified Bernstein–Schurer operators \((0<q<1)\) attached to analytic functions on compact disks. In this way, we show the overconvergence phenomenon for these operators, namely the extensions of the approximation properties with quantitative estimates from the real intervals to compact disks in the complex plane.

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