单纯形;Meyer-Koenig;and;Zeller算子;矩量;积分表示, Open Access Library" />

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A Recurrence Formula of Moments for the Meyer-Konig and Zeller Operators on a Simplex
单纯形上Meyer-K{o}nig and Zeller算子矩量的一个递推公式

Keywords: Meyer-K\"onig and Zeller operatorszz,Momentszz,Integral expressionzz,Simplexzz
单纯形
,Meyer-Koenig,and,Zeller算子,矩量,积分表示

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Abstract:

In this paper, the author first gives an integral expression of moments for the Meyer-K\"onig 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-K\"onig 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.

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