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

Abstract

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.

Keywords

• complex Bernstein-Stancu polynomials
• simultaneous approximation
• iterates of complex Bernstein-Stancu polynomials
• shape preserving properties
• univalent
• starlike