| 广义二次保凸插值样条的构造 |
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| 引用本文： | 孙道勋.广义二次保凸插值样条的构造[J].福州大学学报(自然科学版),1994(2):14-18. |
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| 作者姓名： | 孙道勋 |
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| 作者单位： | 福州大学数学系 |
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| 摘 要： | 讨论二次插值样条的保凸问题，即：当型值点为数较多，且点点通过型值点的二次保凸插值样条不存在时，如何引入广义二次保凸插值样条，此种样条属于Ｃ＂类曲线。
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| 关 键 词： | 分段判定保凸性 斜率差 广义保凸插值样条 |
On the Convexity-Preserving Spline Interpolation |
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| Sun Daoxun.On the Convexity-Preserving Spline Interpolation[J].Journal of Fuzhou University(Natural Science Edition),1994(2):14-18. |
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| Authors: | Sun Daoxun |
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| Institution: | Sun Daoxun(Department of Mathematics,Fuzhou University, Fuzhou,350002) |
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| Abstract: | In this paper we give the definition of the convexity-preserving interpolation of a given function y(x).A necessary and sufficient condition is provided for the quadratic spline with the convexity-preserving interpolation and a method of building convexity-preserving interpolation is presented. |
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| Keywords: | quadratic spline convexity interpolation |
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