关于Bernstein-Durrmeyer多项式对不连续函数的逼近(续)

On Approximation to Discontinuous Functions by Bernstein-Durimeyer Polynomials (Continued)

本文考虑在[0,1]上只具有第一类间断点的有界函数f(x),用它的n阶Bernstein-Durrmeyer多项式M_n(f,x)来逼近,给出了点态的逼近阶。

Suppose that f(X) is a bounded function on[0,1] with discontinuity of the first kind only, in this paper we give the order of pointwise approximation of f by its n order Bernstein-Durrmeyer polynomials M_n(f, X).