Quadrature Formulas Based on the Scaling Function
Václav Finěk · Applications of Mathematics · 2005
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.