| 微分算子插值样条解析性质的一种新证法 |
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| 引用本文： | 张新建,童丽,唐善桂.微分算子插值样条解析性质的一种新证法[J].国防科技大学学报,2001,23(1):89-92 ,96. |
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| 作者姓名： | 张新建 童丽 唐善桂 |
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| 作者单位： | 1. 国防科技大学理学院，湖南 长沙 410073
2. 边防广州指挥学校，广东 广州 510660 |
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| 摘 要： | 讨论带线性泛函约束的微分算子插值样条 ,在空间Wm2 中给出了由约束泛函和微分算子构造再生核的普遍方法 ,利用微分算子及其共轭微分算子零空间基底之间的关系得到了微分算子插值样条解析性质新的推导方法。
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| 关 键 词： | 微分算子样条 再生核 解析性质 |
| 文章编号： | 1001-2486(2001)01-0089-04 |
| 收稿时间： | 7/3/2000 12:00:00 AM |
| 修稿时间： | 2000年7月3日 |
A New Proving Method of the Continuous Properties of Interpolating Splines of Differential Operators |
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| ZHANG Xinjian,TONG Li and TANG Shangui.A New Proving Method of the Continuous Properties of Interpolating Splines of Differential Operators[J].Journal of National University of Defense Technology,2001,23(1):89-92 ,96. |
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| Authors: | ZHANG Xinjian TONG Li and TANG Shangui |
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| Institution: | 1.College of Science, National Univ. of Defense Technology, Changsha 410073, China;1.College of Science, National Univ. of Defense Technology, Changsha 410073, China;2.Guangzhou Frontier Guarding Command School,Guangzhou 510660,China |
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| Abstract: | The interpolating splines of differential operators with constrained functionals are discussed. A general method for constructing the reproducing kernel is presented, this reproducing kernel is determined by the constrained functionals and differential operators. The structual and continuous properties of the splines are derived by new methods, which dependent on the relations between the bases for the null spaces of the differential operators and their adjoint operators. |
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| Keywords: | spline of differential operator reproducing kernel continuous property |
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