| 曲线拟合问题的空间理论基础 |
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| 引用本文： | 韩维信.曲线拟合问题的空间理论基础[J].天津大学学报(英文版),1995(2). |
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| 作者姓名： | 韩维信 |
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| 摘 要： | 曲线拟合问题至今尚未确立精确度概念．本文利用泛函分析理论，确立了曲线拟合问题的空间理论基础，给出了曲线拟合间题的精度概念和构造满足指定精度要求的拟合曲线的方法．
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| 关 键 词： | 拟合空间，拟合曲线，均匀收敛，最佳平方逼近，范数等价原理 |
A SPACE THEORY BASIS FOR CURVE FITTING PROBLEMS |
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| Han Weixin.A SPACE THEORY BASIS FOR CURVE FITTING PROBLEMS[J].Transactions of Tianjin University,1995(2). |
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| Authors: | Han Weixin |
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| Institution: | Dept. of Mathematics |
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| Abstract: | itherto, a precision Concept for curve fitting problems has not been set. By using the theory of functional analysis, the author of this paper established a space theory basis for curve fitting problems. Also given in the paper is the precision concept of the curve fitting problems and the method for constructing the fitting of a curve satisfying given precision requirements. |
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| Keywords: | fitted space fitted curve uniform convergence least square approximation norm equivalence principle |
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