Quadrature formulas based on the scaling function
Applications of Mathematics (2005)
- Volume: 50, Issue: 4, page 387-399
- ISSN: 0862-7940
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topFiněk, Václav. "Quadrature formulas based on the scaling function." Applications of Mathematics 50.4 (2005): 387-399. <http://eudml.org/doc/33228>.
@article{Finěk2005,
abstract = {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.},
author = {Finěk, Václav},
journal = {Applications of Mathematics},
keywords = {Daubechies wavelet; quadrature formula; Daubechies wavelet; quadrature formula},
language = {eng},
number = {4},
pages = {387-399},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Quadrature formulas based on the scaling function},
url = {http://eudml.org/doc/33228},
volume = {50},
year = {2005},
}
TY - JOUR
AU - Finěk, Václav
TI - Quadrature formulas based on the scaling function
JO - Applications of Mathematics
PY - 2005
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 50
IS - 4
SP - 387
EP - 399
AB - 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.
LA - eng
KW - Daubechies wavelet; quadrature formula; Daubechies wavelet; quadrature formula
UR - http://eudml.org/doc/33228
ER -
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