FUNDAMENTALNAYA
I PRIKLADNAYA MATEMATIKA
(FUNDAMENTAL AND APPLIED MATHEMATICS)
1997, VOLUME 3, NUMBER 4, PAGES 1059-1068
S. A. Telyakovskii
Abstract
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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 Fej\`er and Valle\'e Poussin sums;
the criterion of absolute convergence for Fourier series in
terms of $n$ -term approximation.
All articles are published in Russian.
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