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一种双参数的有理三次Hermite样条的逼近性及其应用 被引量：1

A Class of Approximation of Rational Cubic Hermite Interpolating Spline with Two Parameters and Its Applications
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摘要 构建了一种带双参数的分段有理三次Hermite插值样条,它是三次Hermite插值样条的推广.讨论了这种样条的逼近性及应用.数值例子表明,对于给定的插值条件,选择合适的参数,生成的插值曲线具有较好逼近效果. A class of piecewise rational cubic Hermite interpolating spline with two parameters is constructed in this paper, which is the extension of cubic Hermite interpolating spline. The approximation properties of the interpolating spline and its applications are studied. In the end, a numerical example is given to illustrate our methods. The results show that if the parameters are chosen properly for given interpolating conditions, then the introduced interpolating curves can approximate the interpolated functions.
作者 马文瑞 许璐
机构地区 江汉大学数学与计算机科学学院
出处 《合肥学院学报（自然科学版）》 2013年第1期20-24,共5页 Journal of Hefei University :Natural Sciences
关键词 有理三次Hermite样条 三次Hermite样条 Peano—Kernel定理 形状参数 逼近性 rational cubic Hermite spline cubic Hermite spline Peano-Kernel theorem shape parameter approximation
分类号 O174.42 [理学—基础数学]
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参考文献11

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二级参考文献14

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合肥学院学报（自然科学版）
2013年 第1期

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