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Approximation polynômiale dans des classes de jets

Moulay Taïb BelghitiBoutayeb El AmmariLaurent P. Gendre — 2015

Banach Center Publications

In this paper we obtain results on approximation, in the multidimensional complex case, of functions from ( K ) by complex polynomials. In particular, we generalize the results of Pawłucki and Pleśniak (1986) for the real case and of Siciak (1993) in the case of one complex variable. Furthermore, we extend the results of Baouendi and Goulaouic (1971) who obtained the order of approximation in the case of Gevrey classes over real compacts with smooth analytic boundary and we present the orders of approximation...

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