English

Optimal spline spaces for $L^2$ $n$-width problems with boundary conditions

Numerical Analysis 2019-07-09 v4 Numerical Analysis Classical Analysis and ODEs

Abstract

In this paper we show that, with respect to the L2L^2 norm, three classes of functions in Hr(0,1)H^r(0,1), defined by certain boundary conditions, admit optimal spline spaces of all degrees r1\geq r-1, and all these spline spaces have uniform knots.

Cite

@article{arxiv.1709.02710,
  title  = {Optimal spline spaces for $L^2$ $n$-width problems with boundary conditions},
  author = {Michael S. Floater and Espen Sande},
  journal= {arXiv preprint arXiv:1709.02710},
  year   = {2019}
}

Comments

17 pages, 4 figures. Fixed a typo. Article published in Constructive Approximation

R2 v1 2026-06-22T21:37:17.564Z