论文标题
分形插值功能的维度分析
Dimensional analysis of fractal interpolation functions
论文作者
论文摘要
我们提供了一项严格的研究，对在$ \ mathbb {r} $的封闭和有界间隔定义的分形插值函数的维度进行了严格的研究，该函数与基本函数，缩放函数和间隔的分区相关的$ \ mathbb {r} $。特别是，我们提供了$α$ fractal功能的盒子尺寸的精确估计。
We provide a rigorous study on dimensions of fractal interpolation function defined on a closed and bounded interval of $\mathbb{R}$ which is associated to a continuous function with respect to a base function, scaling functions and a partition of the interval. In particular, we provide an exact estimation of the box dimension of $α$-fractal functions.
