| INTERPOLATION WITH RESTRICTED ARC LENGTH |
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| 作者姓名： | Petar Petrov |
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| 作者单位： | University of |
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| 基金项目： | This research was supported by the Sofia University Research Foundation under project 399/2001. |
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| 摘 要： | AbstractFor given data (t_i,y_i),i=0, 1,…,n,0=t_0
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| 关 键 词： | 弧长 解 分割 插值 节点 二次样条 |
Interpolation with restricted arc length |
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| Petar Petrov.INTERPOLATION WITH RESTRICTED ARC LENGTH[J].Analysis in Theory and Applications,2003,19(2):153-159. |
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| Authors: | Petrov Petar |
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| Institution: | (1) Department of Mathematics, University of Sofia, Blvd. James Boucher 5, 1164 Sofia, Bulgaria |
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| Abstract: | For given data
we study constrained interpolation problem of Favard type
where dx is the arc length of f in 0,1]. We prove the existence of a solution f, of the above problem, that is a quadratic spline with a second derivative f, . which coincides with one of the constants between every two consecutive knots. Thus, we extend a result of Karlin concerning Favard problem, to the case of restricted length interpolation. |
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| Keywords: | interpolation knot quadratic spline |
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