一类新的Meyer-Knig and Zeller型算子对有界变差函数的逼近

On Approximation of A New Kind of Myer-Knig andZeller Type Operators for the Functions of Bounded Variation

本文研究文引入的一类新的Meyer-K(?)nig and Zeller型算子(?)_n(f,x),对区间[0,1]上有界变差函数的点态逼近度,并证明所得到的逼近度是不能改进的.

In this paper, we give an estimate for the rate of convergence of a new kind of Meyer -Konig and Zeller type operator Mn (f, x) for the functions of bounded variation. We prove that our estimate is essentially the best possible.