摘要
本文首先给出了一类用递归法定义的 Bernstein型算子在一致逼近意义下的特征刻划 ,然后指出在通常的加权范数下 ,它是无界的 .通过引入的一种新范数 ,我们给出了该算子加 Jacobi权逼近的特征刻划 .
In this paper,at first,the characterization of approximation by recursively defined Bernstein type operators in uniform approximation is given.Then we show that these operators are unbounded in weighted approximation with Jacobi weights.By introducing a new weighted norm.we obtain the characterization of approximation in weighted approximation.
出处
《数学杂志》
CSCD
2000年第3期293-299,共7页
Journal of Mathematics
基金
浙江省自然科学基金!资助项目 (1 940 0 2 )
关键词
递归型Bernstein算子
一致逼近
加权逼近
特征
recursively defined Bernstein type operators
uniform approximation
weighted approximation
characterization.
