On polynomials of best approximation
type: Item
instance of: scholarly article
title: On polynomials of best approximation
zbMATH Open document ID: 1149.41010
DOI: 10.1134/S0001434607090337
author: V. A. Yudin
published in: Mathematical Notes
publication date: 2008-09-03T00:00:00Z
review text: The author studies the set of homogeneous algebraic polynomials in \(n\) variables of least deviation from zero in the space of continuous functions defined on the ball from \(\mathbb R^n, n\geq 2\). He estimates its width and dimension. In the author's opinion, the upper bounds obtained for dimension are rough.
reviewed by: Jacek Gilewicz
Mathematics Subject Classification ID: 41A50
Mathematics Subject Classification ID: 41A10
zbMATH DE Number: 5319871
zbMATH Keywords: algebraic polynomials
zbMATH Keywords: trigonometric polynomials
zbMATH Keywords: Bézout theorem
MaRDI profile type: Publication
cites work: Some Chebyshev approximations by polynomials in two variables
cites work: Polynomials of least deviation from zero
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description: scientific article; zbMATH DE number 5319871