Hybrid sampling series associated with orthogonal wavelets and Gibbs phenomenon

Authors:
Hong-Tae Shim;Gilbert G. Walter
Affiliations:
337-840 Department of Mathematics, Sun Moon University, Asan, Choongnam, Korea;Department of mathematical sciences, UW-Milwaukee, WI
Venue:
The Korean Journal of Computational & Applied Mathematics
Year:
2003

Citing 4
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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.