- Conference date: 8–13 June 2012
- Location: Sozopol, Bulgaria
It is well-known that a B-spline of order m has the shortest support among all compactly supported spline functions with respect to a given smoothness. And recently, B. Han and Z. Shen constructed a Riesz wavelet bases of the space L 2(R) with the shortest support and with m vanishing moments based on B-spline of order m. Such wavelets are important for example in signal processing and in numerical solution of differential equations because of their excellent approximation properties and fast algorithms which provide. In our contribution, we present an adaptation of quadratic wavelets to the interval [0,1] which preserves vanishing moments. The proposed adaptation is a modification of the approach proposed by D. Černá et al. and leads to a better conditioned basis.
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