| 分形插值函数的矩量及扰动误差估计 |
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| 引用本文： | 王宏勇,曹飞龙.分形插值函数的矩量及扰动误差估计[J].高校应用数学学报(A辑),2007,22(2):225-232. |
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| 作者姓名： | 王宏勇 曹飞龙 |
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| 作者单位： | 1. 南京财经大学,应用数学系,江苏南京,210003
2. 中国计量学院,数学系,浙江杭州,310018 |
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| 摘 要： | 研究分形插值函数的矩量积分问题.对于一类分形插值函数,给出了它在各阶区间上的(p,q)阶矩量积分的计算公式.此外,考虑含有扰动项的迭代函数系所产生的分形插值函数的矩量,讨论了扰动项对于矩量的影响,给出扰动前后矩量的误差估计式.
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| 关 键 词： | 分形插值函数 迭代函数系 矩量 |
| 文章编号： | 1000-4424（2007）02-0225-08 |
| 收稿时间： | 2005-09-16 |
| 修稿时间： | 2005-09-16 |
Moments and perturbation error estimates for fractal interpolation functions |
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| WANG Hong-yong,CAO Fei-long.Moments and perturbation error estimates for fractal interpolation functions[J].Applied Mathematics A Journal of Chinese Universities,2007,22(2):225-232. |
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| Authors: | WANG Hong-yong CAO Fei-long |
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| Abstract: | The moment integral problem of fractal interpolating functions(FIFs) are studied in this paper.The calculating formulas of (p,q)-order moment integration on various intervals for a class of FIFs are given.Moreover,the iterated function system(IFS) with perturbative terms and the moments of FIF generated by such an IFS are discussed.The error estimates between the moment of FIF generated by linear IFS and the moment of FIF generated by perturbed IFS are obtained. |
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| Keywords: | fractal interpolation function iterated function system moment |
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