摘要
本文首先讨论了高维单纯形上一类加权K-泛函与光滑模的等价性．然后作为应用，给出了高维单纯形上多元Bernstein算子加权逼近的特征刻划．
In this paper, we considered the equivalence between a class of weighted kfunctional and moduli of smoothness at first, and then we obtain the characterization of multidimensional Bernstein operators on simplex in weighted approximation with multidimensional Jacobi weights.
出处
《应用数学学报》
CSCD
北大核心
1997年第3期345-353,共9页
Acta Mathematicae Applicatae Sinica
基金
浙江省自然科学基金
关键词
单纯形
K-泛函
光滑模
加权逼近
逼近阶
Simplex
K-functional
moduli of smoothness
Bernstein operators
weighted approximation
characterization
