关于一类概率型算子的Lipschitz性质保存性的证明

On the Proof of Lipschitz Properties of a Class of Probabilistic Type Operators

利用Bernstein算子的数学期望表达式及概率论中相关的数字特征不等式来证明文献[4]中定理A,使其证明过程得到简化,并且我们把这种证明方法推广到一类概率型算子当中。

We prove Theorem A in [4] by using probabilistie representation of the Bemstein operators and probabilistie inequalities so that the proof is simplified. Moreover, we extend this method of the proof to a class of operators of probabilistic type.