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Comptes Rendus Mathématique
Volume 353, n° 8
pages 705-709 (août 2015)
Doi : 10.1016/j.crma.2015.04.019
Received : 15 December 2014 ;  accepted : 23 April 2015
Approximation polynômiale des jets de Whitney  -plats
Polynomial approximation of  -flat Whitney jets

Moulay Taïb Belghiti a, 1 , Laurent P. Gendre b , Boutayeb El Ammari a
a Université Ibn Tofail, 14000 Kénitra, Maroc 
b Université Paul-Sabatier, Institut de mathématiques de Toulouse, France 


Nous obtenons des résultats d'approximation polynômiale de type Bernstein–Jackson pour les jets de Whitney  -plats sur des compacts de  . Nous généralisons, en particulier, les résultats de Pawłucki et Pleśniak dans le cas réel et ceux de Siciak pour une dimension complexe.

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We obtain results of Bernstein–Jackson type on polynomial approximation of Whitney jets that are  -flat on compact subsets of  . We extend in particular the results of Pawłucki and Pleśniak to the real case and those of Siciak in the one-dimensional complex case.

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1  Avec le soutien moral du Centre Marocain de Recherches Polytechniques et d'Innovation (CMRPI).

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