Geodesic
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. 
@article{MZM_1996_60_5_a1,
     author = {V. I. Berdyshev},
     title = {Generalized polynomial approximation providing the best reference},
     journal = {Matemati\v{c}eskie zametki},
     pages = {658--669},
     publisher = {mathdoc},
     volume = {60},
     number = {5},
     year = {1996},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_1996_60_5_a1/}
}
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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/