Fundamentalʹnaâ i prikladnaâ matematika, Tome 3 (1997) no. 4, pp. 1059-1068
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S. A. Telyakovskii. On the works of S. B. Stechkin on approximation of periodic functions by polynomials. Fundamentalʹnaâ i prikladnaâ matematika, Tome 3 (1997) no. 4, pp. 1059-1068. http://geodesic.mathdoc.fr/item/FPM_1997_3_4_a9/
@article{FPM_1997_3_4_a9,
author = {S. A. Telyakovskii},
title = {On the works of {S.} {B.~Stechkin} on approximation of periodic functions by polynomials},
journal = {Fundamentalʹna\^a i prikladna\^a matematika},
pages = {1059--1068},
year = {1997},
volume = {3},
number = {4},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/FPM_1997_3_4_a9/}
}
TY - JOUR
AU - S. A. Telyakovskii
TI - On the works of S. B. Stechkin on approximation of periodic functions by polynomials
JO - Fundamentalʹnaâ i prikladnaâ matematika
PY - 1997
SP - 1059
EP - 1068
VL - 3
IS - 4
UR - http://geodesic.mathdoc.fr/item/FPM_1997_3_4_a9/
LA - ru
ID - FPM_1997_3_4_a9
ER -
%0 Journal Article
%A S. A. Telyakovskii
%T On the works of S. B. Stechkin on approximation of periodic functions by polynomials
%J Fundamentalʹnaâ i prikladnaâ matematika
%D 1997
%P 1059-1068
%V 3
%N 4
%U http://geodesic.mathdoc.fr/item/FPM_1997_3_4_a9/
%G ru
%F FPM_1997_3_4_a9
We give a survey of S. B. Stechkin's works devoted to the following themes: direct and inverse theorems in the theory of best approximations; finding the order of decreasing of Kolmogorov's width for classes of differentiable functions; approximative properties of partial sums of Fourier and Taylor series as well as that of the Fejèr and Valleé Poussin sums; the criterion of absolute convergence for Fourier series in terms of $n$-term approximation.
