单纯形上积分型Stancu算子对连续函数的逼近

APPROXIMATION FOR CONTINUOUS FUNCTIONS BY STANCU-INTEGRAL TYPE OPERATORS ON SIMPLEXES

本文首先构造了单纯形上积分型 Stancu算子 ,其次讨论了它对连续函数的逼近 .运用 Mamedov- Shisha和 Devore- Freud量化方法 ,得到了该算子对连续函数及连续可微函数的逼近度 ,并给出了它的 Vonorovskya型渐近公式 .

In this paper,Stancu-integral type operators are first constructed on simplexes,then discusseions on approximation to continuous functions are made.By Mamedov-Shishas and Devore-Freuds quantitizing method,the rates of approximation of the operators to continuous functions and continuous differentiable functions have been found,and more,the asymptotic expansion of Vonorovskyas type has been given for it.