The Uniform Approximation By Left-Bernstein-Durrmeyer Quasi-interpolant Operator

In this paper, we will use the 2r-th Ditzian-Totik modulus of smoothness to discuss the direct and inverse theorems of Lp metric approximation by Left-Bernstein-Durrmeyer quasi-interpolant operator Mn[2r-1](f), for functions which are defined in the space Lp[0,1] (1≤p≤+∞). The main results are as follows:Theorem 1 For thenTheorem 2 For then Theorem 3 For...