Geodesic
Quadrature formulas based on the scaling function
Applications of Mathematics, Tome 50 (2005) no. 4, pp. 387-399

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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.
DOI : 10.1007/s10492-005-0029-8
Classification : 41A55, 42C40, 65D30, 65D32, 65T60
Keywords: Daubechies wavelet; quadrature formula 
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Finěk, Václav. Quadrature formulas based on the scaling function. Applications of Mathematics, Tome 50 (2005) no. 4, pp. 387-399. doi: 10.1007/s10492-005-0029-8

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