Abstract
The Haar system is not very convenient for approximation of smooth functions. In fact, any Haar approximation is a discontinuous function. One can show that even if the function f is very smooth, the Haar coefficients still decrease slowly. We therefore aim to construct wavelets that have better approximation properties.
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© 1998 Springer-Verlag New York, Inc.
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Härdle, W., Kerkyacharian, G., Picard, D., Tsybakov, A. (1998). The idea of multiresolution analysis. In: Wavelets, Approximation, and Statistical Applications. Lecture Notes in Statistics, vol 129. Springer, New York, NY. https://doi.org/10.1007/978-1-4612-2222-4_3
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DOI: https://doi.org/10.1007/978-1-4612-2222-4_3
Publisher Name: Springer, New York, NY
Print ISBN: 978-0-387-98453-7
Online ISBN: 978-1-4612-2222-4
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