×

zbMATH — the first resource for mathematics

Spline-wavelets with arbitrary knots on a bounded interval: orthogonal decomposition and computational algorithms. (English) Zbl 0903.65012
The authors present a general framework for orthogonal decomposition and reconstruction of finite-dimensional Hilbert spaces. These results are used further to the case of polynomial spline spaces for arbitrary knot sequences on a bounded interval. The authors construct dual wavelets, obtain decomposition matrices and formulate a duality principle.

MSC:
65D07 Numerical computation using splines
41A15 Spline approximation
PDF BibTeX XML Cite