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

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.

author list (cited authors)

  • Foucart, S.

citation count

  • 0

publication date

  • June 2006