Abstract.
The bounds of the upper and lower box dimensions of the graph of a function in terms of the coefficients in its wavelet decomposition are given. An example, that the formula for upper box dimension, given in [4], does not hold, is presented.
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March 10, 1997. Date revised: March 3, 1998. Date accepted: March 3, 1998.
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Kamont, A., Wolnik, B. Wavelet Expansions and Fractal Dimensions. Constr. Approx. 15, 97–108 (1999). https://doi.org/10.1007/s003659900099
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DOI: https://doi.org/10.1007/s003659900099