单纯形上Meyer-Knig and Zeller算子矩量的一个递推公式

A Recurrence Formula of Moments for the Meyer-Knig and Zeller Operators on a Simplex

首先运用比文献[2]更简单的方法导出了一元Meyer-Knig and Zeller算子矩量的一个积分表示,然后利用这一方法建立了二元(单纯形上)Meyer-Knig and Zeller算子矩量的一个递推公式,最后作为这个递推公式的应用,给出了该算子的二阶、三阶矩量的积分表示.

In this paper, the author first gives an integral expression of moments for the Meyer- Koenig and Zeller operators of one variable by a simpler method than that in [2], then using the method the author establishes a recurrence formula of moments for the Meyer-KSnig and Zeller operators of two variables on a simlex, finally derive the integral expression of the second and third moments for the operators as an application of the recurrence formula.