| Weierstrass逼近定理及其应用 |
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| 引用本文： | 沈燮昌.Weierstrass逼近定理及其应用[J].曲阜师范大学学报,1989(2). |
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| 作者姓名： | 沈燮昌 |
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| 作者单位： | 北京大学 |
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| 摘 要： | 4 Weierstrass定理的推广—Stone定理这一节所介绍的Stone定理是Weierstrass定理的推广。由此可以得到其他的逼近定理。我们先从一系列的引理开始。引理5 设x_1,x_2∈a,b],x_1≠x_2,(?)a,b]上(?)函数(x):且Φ(x)在a,b]上能被多项式一致逼近。证任取一个多项式P(x),只要作P(x_1)≠P(x_2),这是可以办到的,例如职P(x)=x。
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WEIERSTRASS APPROXIMATION THEOREM AND IT'S APPLICATION |
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| Shen Xiechang.WEIERSTRASS APPROXIMATION THEOREM AND IT'S APPLICATION[J].Journal of Qufu Normal University(Natural Science),1989(2). |
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| Authors: | Shen Xiechang |
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| Institution: | Shen Xiechang |
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| Abstract: | In this paper we give out weierstrass approximation theorem and it's exte nded strict proof and expound in a contact with relevant theorem. |
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| Keywords: | weierstrass approximation theorem |
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