THE GLOBAL APPROXIMATION BY LEFT-BERNSTEIN-DURRMEYER QUASI-INTERPOLANTS IN Lp0,1

摘要

In this paper, we will use the 2r-th Ditzian-Totik modulus of smoothness ω2r(f,t)p to discuss the direct and inverse theorem of approximation by Left-Bernstein-Durrmeyer quasi-interpolants Mn[2r-1] f for functions of the space Lp[0, 1] (1 ≤ p ≤ +∞).