multiresolution approximation
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Author(s):  
Shyam Lal ◽  
Susheel Kumar

A sufficient literature is available for the wavelet error of approximation of certain functions in theL2-norm. There is no work in context of multiresolution approximation of a function in the sense of sup-error. In this paper, for the first time, wavelet estimator for the approximation of a functionfbelonging toLipα[a,b]class under supremum norm has been obtained. Working in this direction, four new theorems on the wavelet approximation of a functionfbelonging toLipα,0<α≤1class using the projectionPmfof its wavelet expansions have been estimated. The calculated estimator is best possible in wavelet analysis.


2008 ◽  
Vol 46 (11) ◽  
pp. 3719-3730 ◽  
Author(s):  
Shi Jun ◽  
Zhang Xiaoling ◽  
Jianyu Yang ◽  
Wang Yinbo

Biometrika ◽  
2007 ◽  
Vol 94 (2) ◽  
pp. 313-334 ◽  
Author(s):  
K. Falconer ◽  
C. Fernandez

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