This article is cited in 2 papers

Generalized polynomial approximation providing the best reference

V. I. Berdyshev

Institute of Mathematics and Mechanics, Ural Branch of the Russian Academy of Sciences

Abstract: 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.

UDC: 629.7+518.5

Received: 26.08.1994
Revised: 23.05.1995

DOI: 10.4213/mzm1879

 English version: Mathematical Notes, 1996, 60:5, 495–502

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