摘要
考虑由迭代函数系的纵向尺度因子和函数项的联合扰动引起的分形插值函数的扰动误差,给出了误差的一个解析表达式及上界估计.同时,给出了相应分形插值函数的分数阶积分的误差上界.结果表明,分形插值函数及其分数阶积分对迭代函数系参数的轻微扰动不敏感.
The perturbation errors of FIFs,which are caused by the joint perturbation of the vertical scaling factors and functional terms in iterated function system are investigated.An analytic expression and an upper estimate for the perturbation errors of FIFs are presented.In addition,the upper bound of the errors for the fractional integrals of the corresponding FIFs is also given.The obtained results show that the FIFs and their fractional integrals are not sensitive to the slight perturbation of the parameters of IFS.
出处
《山东理工大学学报（自然科学版）》
CAS
2011年第5期16-18,共3页
Journal of Shandong University of Technology:Natural Science Edition
基金
国家自然科学基金资助项目(11071152)
关键词
迭代函数系
分形插值函数
分数阶积分
扰动误差
iterated function system
fractal interpolation function
fractional integral
perturbation error
