V. Finek, Technical University of Liberec, Faculty of Education, Halkova 6, CZ-461 17 Liberec 1, Czech Republic, e-mail: finek@karel.troja.mff.cuni.cz
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.
Keywords: Daubechies wavelet, quadrature formula
Classification (MSC 2000): 65T60, 65D32
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