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

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 sqrt(k). 2006 Elsevier Inc. All rights reserved.

authors

• Foucart, Simon

published proceedings

• JOURNAL OF APPROXIMATION THEORY

author list (cited authors)

• Foucart, S.

citation count

• 0

complete list of authors

• Foucart, S

publication date

• January 2006

publisher

• Elsevier  Publisher

published in

• Journal of Approximation Theory  Journal

keywords

• Orthogonal Projectors
• Splines

Digital Object Identifier (DOI)

• 10.1016/j.jat.2005.12.004

start page

• 154

end page

• 177

volume

• 140

issue

• 2

URL

• http://dx.doi.org/10.1016/j.jat.2005.12.004