| 联合逼近的存在性与离散化 |
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| 引用本文： | 祝长忠.联合逼近的存在性与离散化[J].数学研究及应用,1985,5(3):75-80. |
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| 作者姓名： | 祝长忠 |
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| 作者单位： | 上海科技大学 |
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| 摘 要： | 本文研究了紧距离空间上的函数集合被满足Young条件的函数类的联合逼近问题,建立了存在性定理,得到了极限定理,证明了可以用函数集合的离散化或距离空间的离散化得到最佳联合逼近。
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| 收稿时间： | 1983/8/29 0:00:00 |
Existence and Discretization of Simultaneous Approximation |
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| Zhu Changzhong.Existence and Discretization of Simultaneous Approximation[J].Journal of Mathematical Research with Applications,1985,5(3):75-80. |
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| Authors: | Zhu Changzhong |
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| Institution: | ShanghaiTech University |
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| Abstract: | In this paper we study the problem of simultaneous approximation of a set of functions on a compact metric space by a family of functions satisfying Young's condition,. Existence is established. Limit theorems are obtained. It is also pointed out that discretization of the set of functions or the metric space can be employed to get a best approximation. |
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