Durrmeyer type operators on a simplex

Abstract

The paper contains the definition and certain approximation properties of a sequence of Durrmeyertype operators on a simplex, which preserve affine functions and make a link between the multidimensional "genuine"Durrmeyer operators and the multidimensional Bernstein operators.Keywords: Multidimensional linear positive operators, Durrmeyer type operators, Bernstein operators on a simplex,limit operators, estimates with moduli of continuity.