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JAT
2006

On the value of the max-norm of the orthogonal projector onto splines with multiple knots

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On the value of the max-norm of the orthogonal projector onto splines with multiple knots
The supremum over all knot sequences of the max-norm of the orthogonal spline projector is studied with respect to the order k of the splines and their smoothness. It is first bounded from below in terms of the max-norm of the orthogonal projector onto a space of incomplete polynomials. Then, for continuous and for differentiable splines, its order of growth is shown to be k. Key words: Orthogonal projectors, Splines
Simon Foucart
Added 13 Dec 2010
Updated 13 Dec 2010
Type Journal
Year 2006
Where JAT
Authors Simon Foucart
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