On the value of the max-norm of the orthogonal projector onto splines with multiple knots |
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Authors: | Simon Foucart |
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Institution: | Department of Applied Mathematics and Theoretical Physics, University of Cambridge, Wilberforce Road, Cambridge CB3 0WA, UK |
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Abstract: | 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 . |
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Keywords: | Orthogonal projectors Splines |
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