Voir la notice de l'article provenant de la source Math-Net.Ru
@article{MZM_2016_100_2_a4, author = {A. N. Morozov}, title = {Local {Approximations} of {Differentiable} {Functions}}, journal = {Matemati\v{c}eskie zametki}, pages = {248--255}, publisher = {mathdoc}, volume = {100}, number = {2}, year = {2016}, language = {ru}, url = {http://geodesic.mathdoc.fr/item/MZM_2016_100_2_a4/} }
A. N. Morozov. Local Approximations of Differentiable Functions. Matematičeskie zametki, Tome 100 (2016) no. 2, pp. 248-255. http://geodesic.mathdoc.fr/item/MZM_2016_100_2_a4/
[1] S. N. Bernshtein, Sobranie sochinenii. V 4 t., T. 2, Izd. AN SSSR, M.–L., 1954
[2] A. N. Morozov, “Analog teoremy Bernshteina v prostranstve $L_1$”, Matem. zametki, 57:5 (1995), 699–703 | MR | Zbl
[3] A. N. Morozov, “Ob odnom opisanii prostranstv differentsiruemykh funktsii”, Matem. zametki, 70:5 (2001), 758–768 | DOI | MR | Zbl
[4] Yu. A. Brudnyi, “Kriterii suschestvovaniya proizvodnykh v $L^p$”, Matem. sb., 73 (115):1 (1967), 42–64 | MR | Zbl
[5] Yu. A. Brudnyi, “Prostranstva, opredelyaemye s pomoschyu lokalnykh priblizhenii”, Tr. MMO, 24, Izdatelstvo Moskovskogo universiteta, M., 1971, 69–132 | MR | Zbl
[6] I. Berg, I. Lefstrem, Interpolyatsionnye prostranstva. Vvedenie, Mir, M., 1980 | MR | Zbl
[7] L. V. Kantorovich, G. P. Akilov, Funktsionalnyi analiz, Nauka, M., 1984 | MR | Zbl
[8] E. A. Storozhenko, P. Osvald, “Teoremy Dzheksona v prostranstvakh $L_p(R^n)$, $0
1$”, Sib. matem. zhurn., 19:4 (1978), 888–901 | Zbl[9] V. I. Bogachev, Osnovy teorii mery, NITs “Regulyarnaya i khaoticheskaya dinamika”, Moskva–Izhevsk, 2003
[10] I. P. Irodova, “Svoistva funktsii, zadannykh skorostyu ubyvaniya kusochno-polinomialnoi approksimatsii”, Issledovaniya po teorii funktsii mnogikh veschestvennykh peremennykh, Cb. nauch. trudov, Yaroslavl, 1980, 92–117 | MR | Zbl