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

View as HTML     View as gif image    View as LaTeX source

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 Valleé Poussin sums; the criterion of absolute convergence for Fourier series in terms of n-term approximation.


All articles are published in Russian.

Main page Contents of the journal News Search

Location: http://mech.math.msu.su/~fpm/eng/97/974/97410h.htm
Last modified: January 27, 2000