Sikkema-Bézier型算子对有界变差函数的点态逼近度  

On Approximation Rate of Two Sikkema-Bezier Type Operators for Bounded Variation Functions

作　　者：李江波[1] 

机构地区：[1]丽水师范专科学校数学系浙江丽水323000

出　　处：《绍兴文理学院学报（自然科学版）》2004年第7期9-15,共7页Journal of Shaoxing College of Arts and Sciences

摘　　要：构造了两种Sikkema-Bézier型算子Sn,Ω(f，x)，Sn,Ω^*(f，x)(它们是Sikkema算子的两种推广)，并研究了它们对有界变差函数的点态逼近，得到它们对这类函数点态逼近的最优估计式．In the present paper we study approximation rate of two Sikkema-Bezier type operators S n,a(f,x) and S * n,a for bounded variation functions.We obtain asymptotically optimal estimation of S n,a and S * n,a for bounded variation functions at points of continuity and points of discontinuity.

关 键 词：Sikkema-Bézier型算子 有界变差函数 点态逼近 最优估计式 

分 类 号：O175.3[理学—数学]