Durrmeyer type operators on a simplex

Abstract

The paper contains the definition and certain approximation properties of a sequence of Durrmeyer-type 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

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