Sard-optimal prefilters for the Fast Wavelet Transform
A direct input of function samples into the Fast Wavelet Transform often gives inaccurate results. We use the refinement equation for the construction of prefiltering quadrature formulas which are optimal in Sard's sense, i.e.,in the standard class of functions with ‖ f(p)‖2 < ∞. A detailed...
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| Veröffentlicht in: | Numerical algorithms 1997-01, Vol.16 (3-4), p.303-319 |
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| container_end_page | 319 |
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| container_issue | 3-4 |
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| container_title | Numerical algorithms |
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| creator | Ehrich, Sven |
| description | A direct input of function samples into the Fast Wavelet Transform often gives inaccurate results. We use the refinement equation for the construction of prefiltering quadrature formulas which are optimal in Sard's sense, i.e.,in the standard class of functions with ‖ f(p)‖2 < ∞. A detailed analysis of the error and several applications are given. |
| doi_str_mv | 10.1023/A:1019103617219 |
| format | Article |
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| identifier | ISSN: 1017-1398 |
| ispartof | Numerical algorithms, 1997-01, Vol.16 (3-4), p.303-319 |
| issn | 1017-1398 1572-9265 |
| language | eng |
| recordid | cdi_proquest_journals_2918654070 |
| source | SpringerLink Journals - AutoHoldings |
| subjects | Error analysis Quadratures Wavelet transforms |
| title | Sard-optimal prefilters for the Fast Wavelet Transform |
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