Voronovskaja Theorem for Simultaneous Approximation by Bernstein Operators on a Simplex

摘要

We construct Kantorovich-type operators of higher order associated to the Bernstein operators for the a k-dimensional simplex and we obtain a Voronovskaja type theorem for these operators. As consequence we get a Voronoskaja type theorem for the simultaneous approximation by Bernstein operators on a simplex.