Published January 31, 2012 | Version v1
Journal article Metadata-only

Approximation of periodic functions in the classes HqΩ by linear methods

Creators

  • 1. Moscow State Technical University 'MAMI', Moscow (Russian Federation)

Description

The following result is proved: if approximations in the norm of L∞ (of H1) of functions in the classes H∞Ω (in H1Ω, respectively) by some linear operators have the same order of magnitude as the best approximations, then the set of norms of these operators is unbounded. Also Bernstein's and the Jackson-Nikol'skii inequalities are proved for trigonometric polynomials with spectra in the sets Q(N) (in Γ(N,Ω)). Bibliography: 15 titles.

Availability note (English)

Available from http://dx.doi.org/10.1070/SM2012v203n01ABEH004215

Additional details

Identifiers

DOI
10.1070/SM2012v203n01ABEH004215;

Publishing Information

Journal Title
Sbornik. Mathematics
Journal Volume
203
Journal Issue
1
Journal Page Range
p. 88-110
ISSN
1064-5616

INIS

Country of Publication
United States
Country of Input or Organization
International Atomic Energy Agency (IAEA)
INIS RN
43091445
Subject category
S97: MATHEMATICAL METHODS AND COMPUTING;
Descriptors DEI
APPROXIMATIONS; MATHEMATICAL LOGIC; MATHEMATICAL OPERATORS; PERIODICITY; POLYNOMIALS; SET THEORY
Descriptors DEC
CALCULATION METHODS; FUNCTIONS; MATHEMATICS; VARIATIONS