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| 一类多元Gauss-Weierstrass算子线性组合的加权逼近 | |
| 引用本文： | 赵德钧. 一类多元Gauss-Weierstrass算子线性组合的加权逼近[J]. 绍兴文理学院学报, 2002, 22(9): 9-14 |
| 作者姓名： | 赵德钧 |
| 作者单位： | 绍兴文理学院,数学系,浙江,绍兴,312000 |
| 基金项目： | 浙江省重点扶植学科基金资助课题(浙教高科 [1998]7号 ) |
| 摘 要： | 该文给出了一类多元Gauss-Weierstrass算子线性组合加Jacobi权在一致逼近下的正、逆定理和逼近阶的特征刻划 |
| 关 键 词： | 多元Gauss-Weierstrass算子 多元线性组合 加权逼近 特征刻划. |
| 文章编号： | 1008-293X(2002)03-0009-06 |
| 修稿时间： | 2002-06-25 |
Weighted Approximation by a Class of Linear Combinations of Multidimensional Gauss- Weierstrass Operators in Uniform Approximation |
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| Zhao Dejun. Weighted Approximation by a Class of Linear Combinations of Multidimensional Gauss- Weierstrass Operators in Uniform Approximation[J]. Journal of Shaoxing College of Arts and Sciences, 2002, 22(9): 9-14 | |
| Authors: | Zhao Dejun |
| Abstract: | The weighted approximation by a class of linear combinations of multidimensional Gauss-Weierstrass operators with Jacobi weight in uniform approximation is considered. The direct and converse results and the characterization of approximation order are given. |
| Keywords: | multidimensional Gauss-Weierstrass operators linear combination of multidimensional operators weighted approximation characterization |
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