摘要
对于Bernstein型算子,证明它在通常的加权范数下是无界的,通过引进新的加权范数,研究其加Jacobi权的逼近性质,得到加权逼近的正逆定理,从而导出加权逼近特征的等价刻画．
For Bernstein type operators, we prove that the operators are unbounded in usual weighted norm. After introducing a new weighted norm, we study the properties of approximation with Jacobi weight and obtain the direct and inverse theorems of weighted approximation. From these theorems the equivalent theorem of characterization follows.
出处
《系统科学与数学》
CSCD
北大核心
2006年第1期11-20,共10页
Journal of Systems Science and Mathematical Sciences
基金
国家自然科学基金资助课题(60473034).
