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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 

Résumé

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.

The full text of this article is available in PDF format.
Abstract

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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