New upper bound for the B-spline basis condition number - II. A proof of de Boor's 2(k)-conjecture

Authors
Scherer, K Shadrin, AY
Citation
K. Scherer et Ay. Shadrin, New upper bound for the B-spline basis condition number - II. A proof of de Boor's 2(k)-conjecture, J APPROX TH, 99(2), 1999, pp. 217-229
Citations number
9
Categorie Soggetti
Mathematics
Journal title
JOURNAL OF APPROXIMATION THEORY
ISSN journal
00219045 → ACNP
Volume
99
Issue
2
Year of publication
1999
Pages
217 - 229
Database
ISI
SICI code
0021-9045(199908)99:2<217:NUBFTB>2.0.ZU;2-H
Abstract
For the p-norm condition number kappa(k,p) of the B-spline basis of order k we prove the upper estimate kappa(k,p) < k2(k). This proves de Boor's 2(k) -conjecture up to a polynomial factor. (C) 1999 Academic Press.