Approximation by Complex Perturbed Bernstein-Type Operators

In this paper we consider complex form of a modified (perturbed) Bernstein operators attached to an analytic function in a disk of radius R > 1 centered at the origin. We obtain quantitative estimates of the convergence in compact disks and exact degree of simultaneous approximation with the help of upper estimates in quantitative form, and of lower estimates obtained from a qualitative Voronovskaja type result.