Generalized polynomial approximation providing the best reference
Matematičeskie zametki, Tome 60 (1996) no. 5, pp. 658-669.

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We pose the extremum problem of finding a polynomial approximation for a function of several variables so that this approximation by a fragment of the function provides the best reference. We obtain an upper bound for the modulus of informativity of polynomials and rational functions.
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V. I. Berdyshev. Generalized polynomial approximation providing the best reference. Matematičeskie zametki, Tome 60 (1996) no. 5, pp. 658-669. http://geodesic.mathdoc.fr/item/MZM_1996_60_5_a1/

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