摘要
对R3中的仿射迭代函数系进行扰动,得到了一类带扰动项的迭代函数系,它的吸引子是一个二元分形插值函数的图象,研究这类分形插值函数及其矩量的扰动误差问题,给出了相应的误差估计式.
This paper is concerned with a kind of iterated function systems (IFSs) in R^3 with perturbation terms whose attractor is the graph of a bivariate fractal interpolation function (FIF). The problems of perturbation errors of such FIF and its moment are studied. The results about error analysis are obtained.
出处
《应用数学》
CSCD
北大核心
2006年第4期737-742,共6页
Mathematica Applicata
基金
国家自然科学基金资助项目(10171080)
关键词
迭代函数系
二元分形插值函数
矩量
扰动误差
Iterated function system
Bivariate fractal interpolation function
Moment
Perturbation error