Geodesic
On the Nikol'skii and Potapov classes of functions
Informatics and Automation, Function spaces, approximation theory, and related problems of mathematical analysis, Tome 293 (2016), pp. 224-235 
V. P. Motornyi. On the Nikol'skii and Potapov classes of functions. Informatics and Automation, Function spaces, approximation theory, and related problems of mathematical analysis, Tome 293 (2016), pp. 224-235. http://geodesic.mathdoc.fr/item/TRSPY_2016_293_a15/
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     title = {On the {Nikol'skii} and {Potapov} classes of functions},
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Voir la notice de l'article provenant de la source Math-Net.Ru

It is proved that the Nikol'skii classes $H_1^r$ and Potapov classes $A_1^r$ contain the class $W_1^r$ for $r>1/2$.

[1] Potapov M.K., “O teoremakh tipa Dzheksona v metrike $L_p$”, DAN SSSR, 111:6 (1956), 1185–1188 | MR | Zbl

[2] Potapov M.K., “O priblizhenii neperiodicheskikh funktsii algebraicheskimi polinomami”, Vestn. Mosk. un-ta. Matematika. Mekhanika, 1960, no. 4, 14–25 | Zbl

[3] Potapov M.K., “O priblizhenii algebraicheskimi polinomami v metrike $L_p$”, Issledovaniya po sovremennym problemam konstruktivnoi teorii funktsii, Fizmatgiz, M., 1961, 64–69 | MR

[4] Motornyi V.P., “Priblizhenie funktsii algebraicheskimi polinomami v metrike $L_p$”, Izv. AN SSSR. Ser. mat., 35:4 (1971), 874–899 | MR