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.
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Publié le :
Rachid Ait-Haddou 1 ; Marie-Laurence Mazure 2
@article{CRMATH_2013__351_21-22_849_0, author = {Rachid Ait-Haddou and Marie-Laurence Mazure}, title = {Approximation by {M\"untz} spaces on positive intervals}, journal = {Comptes Rendus. Math\'ematique}, pages = {849--852}, publisher = {Elsevier}, volume = {351}, number = {21-22}, year = {2013}, doi = {10.1016/j.crma.2013.10.018}, language = {en}, }
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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