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
COSTANTINI, PAOLO;
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.File | Dimensione | Formato | |
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https://hdl.handle.net/11365/10207
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