Mollification Based on Wavelets
Copyright policy )Mollification Based on Wavelets
The mollification obtained by truncating the expansion in wavelets is studied, where the wavelets are so chosen that noise is reduced and the Gibbs phenomenon does not occur. The estimations of the error of approximation of the mollification are given for the case when the fractional derivative of a function is calculated. Noting that the estimations are applicable even when the orthogonality of the wavelets is not satisfied, we study mollifications using unorthogonalized wavelets, as well as those using orthogonal wavelets.
- Tohoku University Japan
- Nihon Bunka University Japan
- Nihon University Japan
Lanczos’ σ-factor, B-spline, wavelet, QA1-939, Gibbs phenomenon, mollification, Nontrigonometric harmonic analysis involving wavelets and other special systems, Lanczos' factor, rapidly decaying harmonic wavelet, Mathematics
Lanczos’ σ-factor, B-spline, wavelet, QA1-939, Gibbs phenomenon, mollification, Nontrigonometric harmonic analysis involving wavelets and other special systems, Lanczos' factor, rapidly decaying harmonic wavelet, Mathematics
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