Statistical convergence of Bernstein operators

Abstract

The Bernstein operator is one of the important topics of approximation theory in which it has been studied in great details for a long time. The aim of this paper is to study the statistical convergence of sequence of Bernstein polynomials. In this paper, we introduce the concepts of statistical convergence of Bernstein polynomials and VB−summability and related theorems. We also study Korovkin type-convergence of Bernstein polynomials.