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Explicit inequalities for wavelet coefficients. (English) Zbl 1018.42022
Summary: A fundamental principle for many applications of wavelets is that the size of the wavelet coefficients indicates the local smoothness of the represented function $$f$$. We show how explicit and best possible a priori bounds for wavelet coefficients can be obtained for any wavelet from the coefficients of its two scale relation.
##### MSC:
 42C40 Nontrigonometric harmonic analysis involving wavelets and other special systems 65T60 Numerical methods for wavelets 41A15 Spline approximation
##### Keywords:
wavelet coefficients; bounds; two scale relation
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##### References:
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