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

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.

[1] Bl. Sendov, “Nekotorye voprosy teorii priblizhenii funktsii i mnozhestv v khausdorfovoi metrike”, Uspekhi matem. nauk, 24:5 (1969), 141–178 | MR | Zbl

[2] Bl. Sendov, V. A. Popov, “Priblizhenie funktsii mnogikh peremennykh algebraicheskimi mnogochlenami v metrike khausdorfovogo tipa”, God. Sofiiskogo un-ta, matem. fak., 1969/70, 61–76 | MR

[3] Bl. Sendov, V. A. Popov, “Analog teoremy Nikolskogo dlya priblizhenii funktsii algebraicheskimi mnogochlenami v khausdorfovoi metrike”, Trudy Mezhdunar. konf. po konstrukt. teorii funktsii, Varna, 1970, 95–105 | MR