| 一类多元Bernstein型算子加Jacobi权的逼近 |
| |
| 引用本文： | 赵德钧. 一类多元Bernstein型算子加Jacobi权的逼近[J]. 绍兴文理学院学报, 1999, 0(5) |
| |
| 作者姓名： | 赵德钧 |
| |
| 作者单位： | 绍兴文理学院数学系!绍兴，312000 |
| |
| 基金项目： | 浙江省自然科学基金!194002 |
| |
| 摘 要： | 本文首先用递归法定义一类新的多元Bernstein型算子，并给出其在一致逼近意义下的特征刻划．然后指出这一算子加权逼近的无界性．最后利用一类修正的加权K-泛函给出了该算子加Jacobi权逼近的特征刻划定理及其光滑性刻划．
|
| 关 键 词： | 二元递归型Bernstein算子 一致逼近 加权逼近 特征刻划 |
Weighted Approximation with Jacobi Weights by Multidimensional Bernstein-type Operators |
| |
| Zhao Dejun. Weighted Approximation with Jacobi Weights by Multidimensional Bernstein-type Operators[J]. Journal of Shaoxing College of Arts and Sciences, 1999, 0(5) |
| |
| Authors: | Zhao Dejun |
| |
| Affiliation: | Department of Mathematics |
| |
| Abstract: | In this paper,at first,we consider the characterization of approximation by new multidimen-sional Bernstein-type Operators obtained by recursive definition in Uniform approximation.Then we showthat 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. |
| |
| Keywords: | multidimensional recursively defined Bernstein-type operators uniform-approximation weighted approximation characterization |
| 本文献已被 CNKI 等数据库收录！ |
