In this paper, we give fractal interpolation functions generated on some special affine fractal interpolation curve by harmonic functions of fractal analysis. In the case of Koch Curve, same statement is regarded as a corollary, that is, we show that it is possible to ensure that graphs of fractal interpolation functions on the Koch Curve are attractors of iterated function systems. In the case of fractal interpolation functions generated on general affine fractal interpolation curves by harmonic functions of fractal analysis, all the discussions are similar to those performed in some special affine fractal interpolation curve if their harmonic structures are given.

中文翻译：

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仿射分形插值曲线上的分形插值函数

本文利用分形分析的调和函数，给出了在一些特殊的仿射分形插值曲线上生成的分形插值函数。在科赫曲线的情况下，同样的陈述被认为是一个推论，也就是说，我们证明了有可能确保科赫曲线上的分形插值函数图是迭代函数系统的吸引子。对于分形分析的调和函数在一般仿射分形插值曲线上生成分形插值函数的情况，如果给出调和结构，则所有讨论都类似于在某些特殊仿射分形插值曲线上进行的讨论。