| 一类多元Bernstein算子的加权逼近 |
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| 引用本文： | 宣培才. 一类多元Bernstein算子的加权逼近[J]. 绍兴文理学院学报, 1997, 0(6) |
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| 作者姓名： | 宣培才 |
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| 摘 要： | 主要讨论了一类二元的Bernstein算子的加权逼近问题。首先，我们举例说明在通常的加权范数下它是无界的。然后我们给出了一类新的加权范数，在此范数下它是有界的。最后我们利用一类新的加权K一泛函给出了二元Bernstein算子加Jacobi权逼近的特征刻划。
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| 关 键 词： | 二元Bernstein算子 算子逼近 加权逼近 特征刻划 |
Weighted Approximation by Multidimensional Bernstein Operators |
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| Xuan Peicai. Weighted Approximation by Multidimensional Bernstein Operators[J]. Journal of Shaoxing College of Arts and Sciences, 1997, 0(6) |
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| Authors: | Xuan Peicai |
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| Affiliation: | Dept. of Computer Science |
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| Abstract: | In this paper, at first, we show that the Multidimensional Bernstein operators are unbounded in weighted approximation with Jacobi weights, then we introduce a new weighted norm and a new K - functional and we obtain the characterization of approximation in weighted approximation. |
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| Keywords: | multidimensional Bernstein operators operator approximation weighted approximation characterization |
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