| 一类有理三次样条的区域控制和逼近性质 |
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| 引用本文： | 谢楠,张晓平. 一类有理三次样条的区域控制和逼近性质[J]. 山东大学学报(工学版), 2004, 34(6): 106-111 |
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| 作者姓名： | 谢楠 张晓平 |
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| 作者单位： | 中国海洋大学,信息学院,山东,青岛,266003;山东建筑工程学院,数理系,山东,济南,250014 |
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| 摘 要： | 对一类分母为二次的有理三次插值样条曲线的区域控制问题进行了研究 ,给出了将其约束于给定区域的充分条件及充分必要条件 ,然后给出了当被插值函数为一阶连续时插值函数的逼近性质 .
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| 关 键 词： | 有理样条 约束插值 误差估计 |
| 文章编号： | 1672-3961(2004)06-0106-06 |
| 修稿时间： | 2003-01-10 |
Region control and approximation properties of a rational cubic spline |
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| XIE Nan ,ZHANG Xiao-ping. Region control and approximation properties of a rational cubic spline[J]. Journal of Shandong University of Technology, 2004, 34(6): 106-111 |
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| Authors: | XIE Nan ZHANG Xiao-ping |
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| Affiliation: | XIE Nan 1,ZHANG Xiao-ping 2 |
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| Abstract: | The region control of a rational cubic spline with quadratic denominator is studied, the sufficient and necessary conditions for the interpolating curves to be constrained in the given region are derived, and the approximation properties of the interpolating function are given when the being interpolated function is C 1. |
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| Keywords: | rational interpolation constrained interpolation error estimation |
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