一类Kantorovich型算子逼近阶的另一种估计

On the rate of convergence of a Kantorovich type operators

在CHEN和ZENG的研究基础上,利用概率论的相关结论及分析方法重新对一类Kantorovich型算子对局部有界函数的逼近阶进行计算,得到了另一种形式估计式.为研究这一类算子的逼近性质提供另一种思路,并且该估计式也具有相应的精确度.

This paper reestimates the rate of convergence of a kind of a Kantorovich variant of the Bleimann-Butzer-Hahn operators for locally bounded function by means of some techniques of probability theory and anaIysis methods on basis of Chen and Zeng, which provides another method of study of this kind of operators. And another form of estimative formula with relevant precise is given.