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Haar expansions of a class of fractal interpolation functions and their logical derivatives

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Approximation Theory and its Applications

Abstract

In this paper, we study a special class of fractal interpolation functions, and give their Haar-wavelet expansions. On the basis of the expansions, we investigate the Hölder smoothness of such funstions and their logical derivatives of order α.

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Authors and Affiliations

  1. Department of Mathematics, Zhejiang University, 310027, Hangzhou, P.R.C.

    Sha Zhen & Chen Gang

Authors
  1. Sha Zhen
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  2. Chen Gang
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Supported by ZPNF and NSF of China.

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Zhen, S., Gang, C. Haar expansions of a class of fractal interpolation functions and their logical derivatives. Approx. Theory & its Appl. 9, 73–88 (1993). https://doi.org/10.1007/BF02836252

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  • DOI: https://doi.org/10.1007/BF02836252

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