Geodesic
On the question of the asymptotic behavior of best approximations of continuous functions
Sbornik. Mathematics, Tome 38 (1981) no. 3, pp. 365-380

Voir la notice de l'article provenant de la source Math-Net.Ru

For classes of functions with a given majorant of the modulus of continuity of the rth derivative, functions are constructed whose best approximations by trigonometric polynomials behave in the same way on a certain subsequence of indices as the suprema of the corresponding best approximations on these classes. Bibliography: 6 titles. 
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     author = {V. N. Temlyakov},
     title = {On the question of the asymptotic behavior of best approximations of continuous functions},
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V. N. Temlyakov. On the question of the asymptotic behavior of best approximations of continuous functions. Sbornik. Mathematics, Tome 38 (1981) no. 3, pp. 365-380. http://geodesic.mathdoc.fr/item/SM_1981_38_3_a2/