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Wavelet Expansions and Fractal Dimensions

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Constructive Approximation Aims and scope

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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Authors and Affiliations

  1. Instytut Matematyczny PAN ul. Abrahama 18 81-825 Sopot Poland a.kamont@impan.gda.pl, PL

    A. Kamont

  2. Instytut Matematyki UG Wita Stwosza 57 80-952 Gdańsk Poland wolnik@ksinet.univ.gda.pl, PL

    B. Wolnik

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  1. A. Kamont
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  2. B. Wolnik
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Additional information

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

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