Comptes Rendus
Numerical Analysis
Various characterisations of Extended Chebyshev spaces via blossoms
[Quelques caractérisations des espaces de Chebyshev généralisés liées à la notion de floraison.]
Comptes Rendus. Mathématique, Volume 339 (2004) no. 11, pp. 815-820.

Parmi les W-espaces (espaces à Wronskiens sans zéro), les espaces de Chebyshev généralisés se caractérisent par l'existence de bases de Bernstein, ou de points de Bézier, ou de floraisons, ou de bases de B-splines, dans l'espace obtenu par intégration.

Among all W-spaces (i.e. spaces with nonvanishing Wronskians), extended Cheyshev spaces can be characterised by the existence of either Bernstein bases, or B-spline bases, or Bézier points, or blossoms in the spaces obtained by integration.

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DOI : 10.1016/j.crma.2004.09.031

Marie-Laurence Mazure 1

1 Laboratoire de modélisation et calcul (LMC-IMAG), université Joseph Fourier, BP 53, 38041 Grenoble cedex, France
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Marie-Laurence Mazure. Various characterisations of Extended Chebyshev spaces via blossoms. Comptes Rendus. Mathématique, Volume 339 (2004) no. 11, pp. 815-820. doi : 10.1016/j.crma.2004.09.031. https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.1016/j.crma.2004.09.031/

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[10] L.L. Schumaker Spline Functions, Wiley Interscience, New York, 1981

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