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Quasi-Positive Delta Sequences and Their Applications in Wavelet Approximation

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  • Shyam Lal
  • Susheel Kumar

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.

Suggested Citation

  • Shyam Lal & Susheel Kumar, 2016. "Quasi-Positive Delta Sequences and Their Applications in Wavelet Approximation," International Journal of Mathematics and Mathematical Sciences, Hindawi, vol. 2016, pages 1-7, October.
    • Handle: RePEc:hin:jijmms:9121249
    DOI: 10.1155/2016/9121249
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    References listed on IDEAS

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    1. M. R. Islam & S. F. Ahemmed & S. M. A. Rahman, 2006. "Comparison of wavelet approximation order in different smoothness spaces," International Journal of Mathematics and Mathematical Sciences, Hindawi, vol. 2006, pages 1-7, July.
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