Journal of applied mathematics & informatics

The Korean Society for Computational and Applied Mathematics (한국전산응용수학회)
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HYBRID SAMPLING SERIES ASSOCIATED WITH ORTHOGONAL WAVELETS AND GIBBS PHENOMENON

  • Shim, Hong-Tae (Department of Mathematics, Sun Moon University) ;
  • Gilbert G. Walter (Department of Mathematical Sciences, UW-Milwaukee)
  • Published : 2003.05.01

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Abstract

When a sampling theorem holds in wavelet subspaces, sampling expansions can be a good approximation to projection expansions. Even when the sampling theorem does not hold, the scaling function series with the usual coefficients replaced by sampled function values may also be a good approximation to the projection. We refer to such series as hybrid sampling series. For this series, we shall investigate the local convergence and analyze Gibbs phenomenon.

Keywords

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