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Numerical Functional Analysis and Optimization Volume 13, 1992 - Issue 1-2
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Miscellany

Probabilistic discrete wavelet approximation

G. A. Anastassiou Department of Mathematical Sciences, Memphis State University, Memphis, Tenessee, 38152
&
X. M. Yu Department of Mathematical Sciences, Memphis State University, Memphis, Tenessee, 38152
Pages 117-121 | Received 10 Apr 1991, Accepted 15 Nov 1991, Published online: 18 Nov 2011
 
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Abstract

Let and let

For f ε F, there exist linear wavelet operators Lk(F, x) which are also distribution functions and where the defining mother wavelet is Φ(x). These approximate F(x) in the -norm. The degree of this approximation is estimated by establishing an Lρ Jackson type inequality.

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