Affiliation:
1. School of Mathematics and Statistics, Nanjing University of Science and Technology, Nanjing 210094, P. R. China
Abstract
This paper investigates fractal dimension of product of continuous functions with Box dimension on [Formula: see text]. For two continuous functions with different Box dimensions, the Box dimension of their product has been proved to be the larger one. Furthermore, the Box dimension of product of two continuous functions with the same Box dimension may not exist. Definitions of regular fractal and local fractal functions have been given. Product of a regular fractal function and a local fractal function with the same Box dimension must still be the original Box dimension.
Funder
Nanjing University of Science and Technology Undergraduate Research Training Program
National Natural Science Foundation of China
Publisher
World Scientific Pub Co Pte Ltd
Subject
Applied Mathematics,Geometry and Topology,Modeling and Simulation
Cited by
1 articles.
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