Quasi-Positive Delta Sequences and Their Applications in Wavelet Approximation

Shyam Lal and Susheel Kumar

International Journal of Mathematics and Mathematical Sciences, 2016, vol. 2016, 1-7

Abstract:

A sufficient literature is available for the wavelet error of approximation of certain functions in the -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 function belonging to class under supremum norm has been obtained. Working in this direction, four new theorems on the wavelet approximation of a function belonging to class using the projection of its wavelet expansions have been estimated. The calculated estimator is best possible in wavelet analysis.

Date: 2016
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:9121249

DOI: 10.1155/2016/9121249

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