| 一类多元Bernstein型算子加Jacobi权的逼近 |
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| 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(5). |
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| 作者姓名： | 赵德钧 |
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| 作者单位： | 绍兴文理学院数学系!绍兴，312000 |
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| 基金项目： | 浙江省自然科学基金!194002 |
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| 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．
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| 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 |
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| Zhao Dejun.Weighted Approximation with Jacobi Weights by Multidimensional Bernstein-type Operators[J].Journal of Shaoxing College of Arts and Sciences,1999(5). |
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| Authors: | Zhao Dejun |
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| Institution: | Department of Mathematics |
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| 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. |
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| Keywords: | multidimensional recursively defined Bernstein-type operators uniform-approximation weighted approximation characterization |
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