关于中心的Bernstein型算子的逼近

On Approximation of Centered Bernstein-type Operators

采用分析技巧与概率方法相结合的方法来讨论一类中心的Bernstein型算子在通常一阶连续模和二阶连续模下的逼近度,并且利用得到的两个主要结果对几个具体的中心的Bernstein型算子进行讨论,分别得到它们关于一阶连续模和二阶连续模的逼近度。

The author combines analytical and probabilistic technique to discuss the rates of convergence of centered Bernstein-type operators. The rates of convergences are given in terms of the first and second moduli of continuity. By applying two major results, the author obtains concrete rates of convergences for some classical centered Bemstein-type operators.