Published August 31, 2008 | Version v1
Journal article Metadata-only

Best approximation to monomials on a cube

Creators

  • 1. Moscow Power Engineering Institute, Moscow (Russian Federation)

Description

The paper considers a multivariate analogue of the Chebyshev problem on the cube concerning the construction of polynomials of least deviation from zero. A classification of monomials possessing a unique polynomial of best approximation in the space of continuous functions on the unit cube in Rn is given. Precise solutions in some weighted spaces Lp are found. Bibliography: 11 titles.

Availability note (English)

Available from http://dx.doi.org/10.1070/SM2008v199n08ABEH003961

Additional details

Identifiers

DOI
10.1070/SM2008v199n08ABEH003961;

Publishing Information

Journal Title
Sbornik. Mathematics
Journal Volume
199
Journal Issue
8
Journal Page Range
p. 1251-1262
ISSN
1064-5616

INIS

Country of Publication
United States
Country of Input or Organization
International Atomic Energy Agency (IAEA)
INIS RN
41016627
Subject category
S97: MATHEMATICAL METHODS AND COMPUTING;
Descriptors DEI
APPROXIMATIONS; CLASSIFICATION; MATHEMATICAL SOLUTIONS; MATHEMATICAL SPACE; MULTIVARIATE ANALYSIS; POLYNOMIALS
Descriptors DEC
CALCULATION METHODS; FUNCTIONS; MATHEMATICS; SPACE; STATISTICS