| 无限多个基点上的三次样条函数插值 |
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| 引用本文： | 贾荣庆.无限多个基点上的三次样条函数插值[J].计算数学,1980,2(4):345-349. |
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| 作者姓名： | 贾荣庆 |
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| 作者单位： | 浙江大学数学系 |
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| 摘 要： | Schoenberg曾提出如下的问题: 给定一个严格增加的序列Δ=(x_i)_(-∞)~∞及相应的有界双无限序列(y_i)_(-∞)~∞,是否存在一个有界的三次样条函数s,它以Δ为基点且对所有i,有
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CUBIC SPLINE INTERPOLATION AT A BIINFINITE KNOT SEQUENCE |
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| Institution: | Jia Rong-qing Zhejiang University |
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| Abstract: | Schoenberg once proposed a problem on the existence and uniqueness of bo-unded cubic splines interpolating at a biinfinite knot sequence. Carl de Boor gave a sufficientcondition so that he solved part of the problem. This article made an improvment on Boor'sresult by giving a sufficient and necessary condition. Thus we have completely solved the pro-blem that Schoenberg proposed. |
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