A note on generalized Bernstein-Kantorovich operators

Radu Paltanea

Authors

Radu Paltanea Transilvania University of Brasov, Romania

Keywords:

Bernstein-Kantorovich type operators, shape preserving property

Abstract

We study the convergence property of a sequence of the Bernstein-Kantorovich type operators attached to the differential operator D_b(f) = f '+ b, b∈ $\mathbb{R}$ . As a consequence, we obtain a shape preserving property for the Bernstein operators. In this way, we generalize and correct some results given in [2].