Published December 31, 2013 | Version v1
Journal article Metadata-only

The exact order of approximation to periodic functions by Bernstein-Stechkin polynomials

Creators

  • 1. Donetsk National University, Donetsk (Ukraine)

Description

The paper concerns the approximation properties of the Bernstein-Stechkin summability method for trigonometric Fourier series. The Jackson-Stechkin theorem is refined. Moreover, for any continuous periodic function not only is the exact upper estimate for approximation found, a lower estimate of the same order is also put forward. To do this special moduli of smoothness and the K-functional are introduced. Bibliography: 16 titles

Availability note (English)

Available from http://dx.doi.org/10.1070/SM2013v204n12ABEH004362

Additional details

Identifiers

DOI
10.1070/SM2013v204n12ABEH004362;

Publishing Information

Journal Title
Sbornik. Mathematics
Journal Volume
204
Journal Issue
12
Journal Page Range
p. 1819-1838
ISSN
1064-5616

INIS

Country of Publication
United States
Country of Input or Organization
International Atomic Energy Agency (IAEA)
INIS RN
46071186
Subject category
S97: MATHEMATICAL METHODS AND COMPUTING;
Descriptors DEI
APPROXIMATIONS; FUNCTIONALS; MATHEMATICAL SOLUTIONS; PERIODICITY; POLYNOMIALS; SMOOTH MANIFOLDS
Descriptors DEC
CALCULATION METHODS; FUNCTIONS; MATHEMATICAL MANIFOLDS; VARIATIONS