摘要
通过m进位制展开式和迭代函数系统构造了一类新的自仿射分形函数,讨论了其连续不可微的分形性质,给出并详细证明其Hausdorff维数,为今后研究自仿射分形和随机分形图像的性质及其维数,以及Hausdorff测度的计算方法奠定理论基础.
A class of new self- affined fractal functions were constructed by combining the m- adic expansion with the iterated function system and their fractal properties on continuous but non- differentiable were discussed. Then the Hausdorff dimensions of these fractal functions were investigated and proven,which laid a theoretical foundation for studying the graphs or self- affined fractals and random fractals and the calculating methods of Hausdorff measures.
出处
《曲靖师范学院学报》
2016年第3期9-13,共5页
Journal of Qujing Normal University
