| 一类Bernstein型算子加权逼近 |
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| 引用本文： | 赵德钧. 一类Bernstein型算子加权逼近[J]. 数学杂志, 2000, 20(3): 293-299 |
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| 作者姓名： | 赵德钧 |
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| 作者单位： | 浙江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!资助项目 (1 940 0 2 ) |
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| 摘 要： | 本文首先给出了一类用递归法定义的Ｂｅｒｎｓｅｉｎ型算子在一致逼近意义下的特征刻划，然后指出在通常的加权范数下，它虹无界的，通过引入的一种新范数，我们给出了该算子加Ｊａｃｏｂｉ权逼近的特征刻划。
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| 关 键 词： | 递归型Bernstein算子 一致逼近 加权逼近 特征 |
THE WEIGHTED APPROXIMATION OF A CLASS OF BERNSTEIN TYPE OPERATORS |
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| ZHAO De-jun. THE WEIGHTED APPROXIMATION OF A CLASS OF BERNSTEIN TYPE OPERATORS[J]. Journal of Mathematics, 2000, 20(3): 293-299 |
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| Authors: | ZHAO De-jun |
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| Abstract: | In this paper,at first,the characterization of approximation by recursively defined Bernstein type operators in uniform approximation is given.Then we show that 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: | recursively defined Bernstein type operators uniform approximation weighted approximation characterization. |
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