Extended Chebyshev Piecewise spaces characterised via weight functions

Marie-Laurence Mazure (1)

1 MGMI - Modélisation Géométrique & Multirésolution pour l'Image

We show that Extended Chebyshev piecewise spaces are characterised by the existence of weight functions relative to which the connection matrices are the identity matrix.

Mots clés: Extended Chebyshev (piecewise) spaces; W-(piecewise) spaces; (piecewise) Taylor and Hermite interpolation; Blossoming; Geometric design

Domaines: Analyse numérique [math.NA]

Marie-Laurence Mazure. Extended Chebyshev Piecewise spaces characterised via weight functions. Journal of Approximation Theory, 2007, 145 (1), pp.33-54. ⟨10.1016/j.jat.2006.07.003⟩. ⟨hal-00171428⟩