Approximation of infinite dimensional fractals generated by integral equations

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摘要

We present some results concerning fractals generated by an iterated function system in the infinite dimensional space of continuous functions on a compact interval. Namely, we approximate the fractal via a finite approximant set and project this approximant set in two dimensions, in order to “draw” a picture of it.

论文关键词:28A80,41A65,Attractor,Fractal,Fredholm integral equation,Iterated function system,Orthogonal projection

论文评审过程:Received 4 July 2008, Revised 20 December 2009, Available online 18 February 2010.

论文官网地址:https://doi.org/10.1016/j.cam.2010.02.017