| 二次保凸插值样条存在的充要条件 |
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| 引用本文： | 孙道勋.二次保凸插值样条存在的充要条件[J].福州大学学报(自然科学版),1994(5):1-7. |
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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性问题，当给定型值点为ｐ０，Ｐ１，Ｐ２，…，Ｐｍ共ｎ＋１个时，导出通过此组型值点的二次插值样条存在的充要条件．
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| 关 键 词： | 二次插值样条 保凸性 充要条件 |
On the Convexity-Preserving Quadratic Spline Interpolation |
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| Sun Daoxun.On the Convexity-Preserving Quadratic Spline Interpolation[J].Journal of Fuzhou University(Natural Science Edition),1994(5):1-7. |
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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 convexity-preserving inter polation of a given function f(x).A necessavy and sufficient conditiion is obtained for the quadratic spilne interpolation to be a convexity-preserving one.A method of convexity-preserving interpolation is presented. |
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| Keywords: | quadratic convexity interpolation |
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