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Approximation and geometric properties of some complex Bernstein-Stancu polynomials in compact disks

Approximation and geometric properties of some complex Bernstein-Stancu polynomials in compact disks

In this paper, the order of simultaneous approximation, convergence results of the iterates and shape preserving properties, for complex Bernstein-Stancu polynomials (depending on one parameter) attached to analytic functions on compact disks are obtained.