Published February 28, 2011 | Version v1
Journal article Metadata-only

Best approximation of functions in Lp by polynomials on affine system

Creators

  • 1. Saratov State University named after N. G. Chernyshevsky, Saratov (Russian Federation)

Description

Estimates of the best Lp-approximation of functions by polynomials in an affine system (system of dilations and translations), which are similar to well-known estimates due to Ul'yanov and Golubov for approximations in the Haar system, are obtained. An analogue of A.F. Timan and M.F. Timan's inequality is shown to hold under certain conditions on the generating function of the affine system; this analogue fails for the Haar system for 1<p<∞. Bibliography: 10 titles.

Availability note (English)

Available from http://dx.doi.org/10.1070/SM2011v202n02ABEH004146

Additional details

Identifiers

DOI
10.1070/SM2011v202n02ABEH004146;

Publishing Information

Journal Title
Sbornik. Mathematics
Journal Volume
202
Journal Issue
2
Journal Page Range
p. 279-306
ISSN
1064-5616

INIS

Country of Publication
United States
Country of Input or Organization
International Atomic Energy Agency (IAEA)
INIS RN
43070557
Subject category
S97: MATHEMATICAL METHODS AND COMPUTING;
Descriptors DEI
APPROXIMATIONS; MATHEMATICAL LOGIC; MATHEMATICAL MANIFOLDS; MEASURE THEORY; POLYNOMIALS
Descriptors DEC
CALCULATION METHODS; FUNCTIONS; MATHEMATICS