| Title:
|
Quadrature formulas based on the scaling function (English) |
| Author:
|
Finěk, Václav |
| Language:
|
English |
| Journal:
|
Applications of Mathematics |
| ISSN:
|
0862-7940 (print) |
| ISSN:
|
1572-9109 (online) |
| Volume:
|
50 |
| Issue:
|
4 |
| Year:
|
2005 |
| Pages:
|
387-399 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
The scaling function corresponding to the Daubechies wavelet with two vanishing moments is used to derive new quadrature formulas. This scaling function has the smallest support among all orthonormal scaling functions with the properties $M_2 = M_1^2$ and $M_0 = 1$. So, in this sense, its choice is optimal. Numerical examples are given. (English) |
| Keyword:
|
Daubechies wavelet |
| Keyword:
|
quadrature formula |
| MSC:
|
41A55 |
| MSC:
|
42C40 |
| MSC:
|
65D30 |
| MSC:
|
65D32 |
| MSC:
|
65T60 |
| idZBL:
|
Zbl 1099.65147 |
| idMR:
|
MR2151463 |
| DOI:
|
10.1007/s10492-005-0029-8 |
| . |
| Date available:
|
2009-09-22T18:23:05Z |
| Last updated:
|
2020-07-02 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/134613 |
| . |
| Reference:
|
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| Reference:
|
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| Reference:
|
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| Reference:
|
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| Reference:
|
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| Reference:
|
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| Reference:
|
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| Reference:
|
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| Reference:
|
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| Reference:
|
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| Reference:
|
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| Reference:
|
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| . |
