Error estimation by new family of generalized Bernstein type polynomial

In the present paper we study error estimation by new family of Generalized Bernstein type Polynomial in terms of modulus of continuity. In this paper we obtained new results related to generalizations of Bernstein's approximation theorem using Lebesgue integrable function. The main aim of the present paper, is to extend the result due to Bernstein [1], Lorentz [5] and Voronowskaja [6] for Labesgue integrable functions in L1-norm by polynomial, which is more generalized form.