Geodesic
The exact asymptotic behavior of the best approximation by algebraic and trigonometric polynomials in the Hausdorff metric
Sbornik. Mathematics, Tome 18 (1972) no. 1, pp. 139-149

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In this paper the precise asymptotic behavior is given for the best approximation by algebraic and trigonometric polynomials in the Hausdorff metric in the class of all bounded ($2\pi$-periodic) functions. Bibliography: 3 titles. 
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     author = {B. Kh. Sendov and V. A. Popov},
     title = {The exact asymptotic behavior of the best approximation by algebraic and trigonometric polynomials in the {Hausdorff} metric},
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B. Kh. Sendov; V. A. Popov. The exact asymptotic behavior of the best approximation by algebraic and trigonometric polynomials in the Hausdorff metric. Sbornik. Mathematics, Tome 18 (1972) no. 1, pp. 139-149. http://geodesic.mathdoc.fr/item/SM_1972_18_1_a8/