Lp-Norms and Fractal Dimensions of Continuous Function Graphs
We study the fractal dimensions of continuous function graphs and more general fractal parameters. They are all obtained from the L p -norms of some well-built operators. We give general results about these norms in the continuous and the discrete cases. For a function that is uniformly Hölderian, they allow us to estimate in a very easy way a large family of dimensional indices, like the box dimension and regularization dimension.
KeywordsRegularization Dimension Fractal Index Uniform Probability Determine Function Riemann Function
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