Vijay Gupta, Tengiz Shervashidze, Maria Craciun

Rate of Approximation for Certain Durrmeyer Operators

Abstract:
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.

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

MSC 2000: 41A30, 41A36