Geodesic
Approximation of Differentiable Functions in the Uniform Metric
Trudy Matematicheskogo Instituta imeni V.A. Steklova, Studies on function theory and differential equations, Tome 248 (2005), pp. 223-236 
M. K. Potapov. Approximation of Differentiable Functions in the Uniform Metric. Trudy Matematicheskogo Instituta imeni V.A. Steklova, Studies on function theory and differential equations, Tome 248 (2005), pp. 223-236. http://geodesic.mathdoc.fr/item/TM_2005_248_a20/
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     title = {Approximation of {Differentiable} {Functions} in the {Uniform} {Metric}},
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Voir la notice du chapitre de livre provenant de la source Math-Net.Ru

The relationship between pointwise approximation of continuous functions by algebraic polynomials on a closed interval and a pointwise structural characteristic of differentiable functions is considered.

[1] Nikolskii S.M., “O nailuchshem priblizhenii mnogochlenami funktsii, udovletvoryayuschikh usloviyu Lipshitsa”, Izv. AN SSSR. Ser. matem., 10:4 (1946), 295–322 | MR

[2] Timan A.F., “Priblizhenie funktsii, udovletvoryayuschikh usloviyu Lipshitsa, obyknovennymi mnogochlenami”, DAN SSSR, 77 (1951), 969–972 | MR | Zbl

[3] Dzyadyk V.K., “O konstruktivnoi kharakteristike funktsii, udovletvoryayuschikh usloviyu $\operatorname{Lip}\alpha$ ($0\alpha1$) na konechnom otrezke veschestvennoi osi”, Izv. AN SSSR. Ser. matem., 20 (1956), 623–642 | MR

[4] Potapov M.K., “O priblizhenii neperiodicheskikh funktsii algebraicheskimi mnogochlenami”, Vestn. MGU. Matematika. Mekhanika, 1960, no. 4, 14–25 | MR | Zbl

[5] Fuksman A.L., “Strukturnaya kharakteristika funktsii, dlya kotorykh $E_n(f)\leqslant Mn^{-(k+\alpha)}$”, UMN, 20:4 (1965), 187–190 | MR | Zbl

[6] Nikolskii S.M., Priblizhenie funktsii mnogikh peremennykh i teoremy vlozheniya, Nauka, M., 1977, 455 pp. | MR

[7] Potapov M.K., “Nekotorye neravenstva dlya polinomov i ikh proizvodnykh”, Vestn. MGU. Matematika. Mekhanika, 1960, no. 2, 10–20 | MR | Zbl