Mixed norm condition numbers for the univariate Bernstein basis

• Autorzy: Tom Lyche , Karl Scherer
• Języki publikacji: EN

Abstrakty

EN

We study mixed norm condition numbers for the univariate Bernstein basis for polynomials of degree n, that is, we measure the stability of the coefficients of the basis in the $l_q$-sequence norm whereas the polynomials to be represented are measured in the $L_p$-function norm. The resulting condition numbers differ from earlier results obtained for p = q.

Kategorie tematyczne

• 65D17: Computer aided design (modeling of curves and surfaces)
• 65G99: None of the above, but in this section
• 41A10: Approximation by polynomials

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Banach Center Publications
• Rocznik: 2006
• Tom: 72
• Numer: 1
• Strony: 177-188

Daty

wydano

2006

Twórcy

autor

Tom Lyche

• Institutt for Informatikk and CMA, University of Oslo, P.O. Box 1053 Blindern, 0316 Oslo, Norway

autor

Karl Scherer

• Institut für Angewandte Mathematik, Universität Bonn, Wegelstr. 6, 53115 Bonn, Germany

Identyfikatory

DOI

10.4064/bc72-0-12