In this paper we study the approximation power, the existence of a normalized B-basis and the structure of a degree-raising process for spaces of the form span < 1, x,..., x^(n-2), u( x), v( x) >, requiring suitable assumptions on the functions u and v. The results about degree raising are detailed for special spaces of this form which have been recently introduced in the area of CAGD.

Costantini, P., Lyche, T., Manni, C. (2005). On a class of weak Tchebycheff systems. NUMERISCHE MATHEMATIK, 101(2), 333-354 [10.1007/s00211-005-0613-6].

On a class of weak Tchebycheff systems

MANNI, CARLA
2005-01-01

Abstract

In this paper we study the approximation power, the existence of a normalized B-basis and the structure of a degree-raising process for spaces of the form span < 1, x,..., x^(n-2), u( x), v( x) >, requiring suitable assumptions on the functions u and v. The results about degree raising are detailed for special spaces of this form which have been recently introduced in the area of CAGD.
2005
Pubblicato
Rilevanza internazionale
Articolo
Sì, ma tipo non specificato
Settore MAT/08 - ANALISI NUMERICA
English
Con Impact Factor ISI
Tchebycheff Systems, B-basis, Total Positivity, Shape Parameters
Costantini, P., Lyche, T., Manni, C. (2005). On a class of weak Tchebycheff systems. NUMERISCHE MATHEMATIK, 101(2), 333-354 [10.1007/s00211-005-0613-6].
Costantini, P; Lyche, T; Manni, C
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/2108/38232
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