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An estimate for the $n$th minimal error of linear algorithms for an approximation problem
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 44 (2004) no. 6, pp. 997-1001 Cet article a éte moissonné depuis la source Math-Net.Ru

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S. P. Sidorov. An estimate for the $n$th minimal error of linear algorithms for an approximation problem. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 44 (2004) no. 6, pp. 997-1001. http://geodesic.mathdoc.fr/item/ZVMMF_2004_44_6_a4/

[1] Traub D., Vozhnyakovskii Kh., Obschaya teoriya optimalnykh algoritmov, Mir, M., 1983 | MR | Zbl

[2] Tikhomirov V. M., “Poperechniki mnozhestv v funktsionalnom prostranstve i teoriya nailuchshikh priblizhenii”, Uspekhi matem. nauk, 15:3 (1960), 81–120 | MR | Zbl

[3] Sidorov S. P., “On some extremal properties of Lagrange interpolatory polynomials”, J. Approximat. Theory, 118 (2002), 188–201 | DOI | MR

[4] Akhiezer N. I., Lektsii po teorii approksimatsii, Nauka, M., 1965 | MR

[5] Korkin A. I., Zolotarev E. I., “O nekotorom minimume”: E. I. Zolotarev, Polnoe sobr. soch., v. 1, Izd-vo AN SSSR, L., 1931, 138–153

[6] Chebyshev P. L., Polnoe sobranie sochinenii, v. 2, Gostekhteorizdat, M.–L., 1948