| 多元周期函数的一类逼近及逼近阶估计 |
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| 引用本文： | 蒋传海,吴和兵,李纯明.多元周期函数的一类逼近及逼近阶估计[J].数学学报,1999,42(2):263-270. |
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| 作者姓名： | 蒋传海 吴和兵 李纯明 |
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| 作者单位： | 1. 上海财经大学信息系,上海,200433
2. 复旦大学数学所,上海,200433 |
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| 基金项目： | 国家自然科学基金，上海财经大学2112工程资助 |
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| 摘 要： | 本文讨论了多元周期函数的一类逼近，得到一个稠密性的充要条件并构造出适当的逼近函数，给出了逼近阶的精确估计．
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| 关 键 词： | 稠密性 逼近函数 逼近阶 Fourier变换 |
| 修稿时间： | :1998-01-0 |
Approximation of Multivarite Periodic Function and Degree of Approximation |
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| Jiang Chuanhai,Wu Hebing,Li Chunming.Approximation of Multivarite Periodic Function and Degree of Approximation[J].Acta Mathematica Sinica,1999,42(2):263-270. |
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| Authors: | Jiang Chuanhai Wu Hebing Li Chunming |
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| Institution: | Jiang Chuanhai;(Department of Information shanghai, University of Finance and Economics,Shanghai 200433, P. R. China)Wu Hebing; Li Chunming;(Institute of Mathematics, Fadan University, Shanghai 200433, P. R. China) |
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| Abstract: | In this paper, we consider a kind of approximation of multivariate periodicfunction and obtain a necessary and sufficient condition for denseness. We also givestructive approximate functions and exactly estimation of approximate order. |
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| Keywords: | Denseness Approximate function Degree of approximation Fourier transform |
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