Abstract: In this work we have studied numerically the Sobolev regularity of orthonormal compactly supported wavelets and also limit functions generated by iterative interpolation processes. We show that when the support of the wavelet is kept fixed, it is possible to construct orthonormal wavelets that are smoother than those discovered by I. Daubechies in her article in 1988. Furthermore we show that linear combinations of those iterative interpolation schemes that correspond to polynomial interpolation can yield more regular limit functions than the original ones.
Keywords: wavelets, iterative interpolation, Sobolev regularity
AMS 1991 Subject Classification: 42C15, 65D05
Last updated March 22, 1996. Copyright © 1991, 1996 by Harri Ojanen.
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