A Class of Modified Bernstein-Durrmeyer Operators
The main purpose of this paper is to introduce and study a sequence of positive linear operators which are modification of the Bernstein-Durrmeyer operators and called the modified Berstein-Durrmeyer operators. Some properties of these operators and several uniform approximation theorems are proved. These results show that the modified operators share in some advantages with both the Bernstein-Durrmeyer operators and the Bernstein operators.
modified bernstein-durrmeyer operator modulus of smoothness degree of approximation