Vijay Gupta, Tengiz Shervashidze, Maria Craciun

Rate of Approximation for Certain Durrmeyer Operators

In the present note, we study a certain Durrmeyer type integral modification of Bernstein polynomials. We investigate simultaneous approximation and estimate the rate of convergence in simultaneous approximation.

Lebesgue integrable functions, Bernstein polynomials, functions of bounded variation.

MSC 2000: 41A30, 41A36