Geodesic
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.

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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 Fejèr and Valleé Poussin sums; the criterion of absolute convergence for Fourier series in terms of $n$-term approximation. 
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     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},
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     number = {4},
     year = {1997},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/FPM_1997_3_4_a9/}
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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/