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Holder property of fractal interpolation function

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Approximation Theory and its Applications

Abstract

The purpose of this paper is to prove a Hölder property about the fractal interpolation function L(x), ω(L,δ)=O(δq, and an approximate estimate

$$|f - L \leqslant 2\{ w(h) + \frac{{||f||}}{{1 - h^{2 - D} }}.h^{2 - D} \} ,$$

, where D is a fractal dimension of L(x).

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References

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Authors and Affiliations

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

    Sha Zhen

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  1. Sha Zhen
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Zhen, S. Holder property of fractal interpolation function. Approx. Theory & its Appl. 8, 45–57 (1992). https://doi.org/10.1007/BF02836317

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  • DOI: https://doi.org/10.1007/BF02836317

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