B-splines with Birkhoff knots
β Scribed by Borislav Bojanov
- Publisher
- Springer
- Year
- 1988
- Tongue
- English
- Weight
- 434 KB
- Volume
- 4
- Category
- Article
- ISSN
- 0176-4276
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π SIMILAR VOLUMES
We present a construction of a refinable compactly supported vector of functions which is biorthogonal to the vector of B-splines of a given degree with multiple knots at the integers with prescribed multiplicity. The construction is based on Hermite interpolatory subdivision schemes, and on the rel
This paper deals with L 2 (R)-norm and Sobolev-norm stability of polynomial splines with multiple knots, and with regularized versions thereof. An essential ingredient is a result on Ho lder continuity of the shift operator operating on a B-spline series. The stability estimates can be reformulated
## Abstract Penalized splines have gained much popularity as a flexible tool for smoothing and semiβparametric models. Two approaches have been advocated: (1) use a Bβspline basis, equally spaced knots, and difference penalties [Eilers PHC, Marx BD. Flexible smoothing using Bβsplines and penalized