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On the box dimension for a class of nonaffine fractal interpolation functions

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Analysis in Theory and Applications

Abstract

We present lower and upper bounds for the box dimension of the graphs of certain nonaffine fractal interpolation functions by generalizing the results that hold for the affine case.

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Authors and Affiliations

  1. Department of Mathematics, University of Athens, Paepistimioupolis 15784, Athens, Hellas

    L. Dalla & V. Drakopoulos

  2. Department of Informatics & Telecommunications Theoretical Informatics, University of Athens, Panepistimioupolis 15784, Athens, Hellas

    M. Prodromou

Authors
  1. L. Dalla
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  2. V. Drakopoulos
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  3. M. Prodromou
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Dalla, L., Drakopoulos, V. & Prodromou, M. On the box dimension for a class of nonaffine fractal interpolation functions. Anal. Theory Appl. 19, 220–233 (2003). https://doi.org/10.1007/BF02835281

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  • DOI: https://doi.org/10.1007/BF02835281

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