| 修正的Bernstein-Durrmeyer算子的同时逼近 |
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| 引用本文： | 丁春梅,熊静宜. 修正的Bernstein-Durrmeyer算子的同时逼近[J]. 数学研究及应用, 2003, 23(4): 609-614 |
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| 作者姓名： | 丁春梅 熊静宜 |
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| 作者单位： | 1. 绍兴文理学院数学系,浙江,绍兴,312000
2. 中国计量学院信息与数学科学系,浙江,杭州,310034 |
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| 基金项目： | Supported by Natural Science Foundation of Zhejiang Province(102002) |
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| 摘 要： | 本文的目的是证明修正的Bernstein-Durrmeyer算子同时逼近的正逆定理,在点态意义下,我们得到了一个同时逼近的等价特征刻画。
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| 关 键 词： | 修正的Bernstein-Durrmeyer算子 同时逼近 正定理 逆定理 |
| 收稿时间： | 2000-08-21 |
Simultaneous Approximation by Modified Bernstein-Durrmeyer Operators |
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| DING Chun-mei and XIONG Jing-yi. Simultaneous Approximation by Modified Bernstein-Durrmeyer Operators[J]. Journal of Mathematical Research with Applications, 2003, 23(4): 609-614 |
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| Authors: | DING Chun-mei and XIONG Jing-yi |
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| Affiliation: | Dept. of Math.; Shaoxing College of Arts and Science; Zhejiang; China;Dept. of Inform. & Math. Sci.; China Institute of Metrology; Hangzhou; China |
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| Abstract: | The aim of the present paper is to prove direct and converse results for simultaneous approximation by modified Bernstein-Durrmeyer operators. A point-wise equivalence characterization of simultaneous approximation is obtained. |
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| Keywords: | Modified Bernstein-Durrmeyer operators simultaneous approximation direct theorem converse theorem. |
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