FUNDAMENTALNAYA
I PRIKLADNAYA MATEMATIKA

(FUNDAMENTAL AND APPLIED MATHEMATICS)

1997, VOLUME 3, NUMBER 4, PAGES 1059-1068

**On the works of S. B. Stechkin on approximation of periodic
functions by polynomials**

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.
```

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published in Russian.

Location: http://mech.math.msu.su/~fpm/eng/97/974/97410t.htm

Last modified: January 27, 2000