Comptes Rendus
no. 21-22
Numerical analysis
Approximation by Müntz spaces on positive intervals
[Approximation par espaces de Müntz sur un intervalle positif]

Présenté par : Philippe G. Ciarlet

Rachid Ait-Haddou1 ; Marie-Laurence Mazure2
1 Geometric Modeling and Scientific Visualization Center, King Abdullah University of Science and Technology, Saudi Arabia
2 Laboratoire Jean-Kuntzmann, Université Joseph-Fourier, BP 53, 38041 Grenoble cedex 9, France
Comptes Rendus. Mathématique, Volume 351 (2013) no. 21-22, pp. 849-852.

En 1912, les opérateurs dits de Bernstein permirent à S.N. Bernstein de donner une preuve constructive du théorème de Weierstrass. Nous étendons ce résultat aux espaces de Müntz sur des intervalles positifs.

The so-called Bernstein operators were introduced by S.N. Bernstein in 1912 to give a constructive proof of Weierstrassʼ theorem. We show how to extend his result to Müntz spaces on positive intervals.

Reçu le :
Accepté le :
Publié le :
DOI : 10.1016/j.crma.2013.10.018
Rachid Ait-Haddou 1 ; Marie-Laurence Mazure 2

1 Geometric Modeling and Scientific Visualization Center, King Abdullah University of Science and Technology, Saudi Arabia
2 Laboratoire Jean-Kuntzmann, Université Joseph-Fourier, BP 53, 38041 Grenoble cedex 9, France 
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Rachid Ait-Haddou; Marie-Laurence Mazure. Approximation by Müntz spaces on positive intervals. Comptes Rendus. Mathématique, Volume 351 (2013) no. 21-22, pp. 849-852. doi : 10.1016/j.crma.2013.10.018. https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.1016/j.crma.2013.10.018/

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