论文标题
一类复杂的分形插值功能的分形维度
Fractal dimension for a class of complex-valued fractal interpolation functions
论文作者
论文摘要
在最近的文献中，有许多研究论文涉及实价分形功能的分形维度。本文的主要重点是研究复杂值功能的分形维度。本文还强调了复杂值和实值分形函数的维度结果之间的差异。在本文中，我们研究了复杂值函数$ g（x）+i h（x）$的分形维，将其分形维与函数图$ g（x）+h（x）$和$（x）$和$（x），h（x），h（x）$进行比较，并获得了一些界限。此外，我们研究了与细菌功能$ f $，基本功能$ b $和缩放函数$α_k$相关的复杂值分形插值功能的分形维度。
There are many research papers dealing with fractal dimension of real-valued fractal functions in the recent literature. The main focus of the present paper is to study fractal dimension of complex-valued functions. This paper also highlights the difference between dimensional results of the complex-valued and real-valued fractal functions. In this paper, we study the fractal dimension of the graph of complex-valued function $g(x)+i h(x)$, compare its fractal dimension with the graphs of functions $g(x)+h(x)$ and $(g(x),h(x))$ and also obtain some bounds. Moreover, we study the fractal dimension of the graph of complex-valued fractal interpolation function associated with a germ function $f$, base function $b$ and scaling functions $α_k$.
