@article{SM_2002_193_12_a1,
author = {A. B. Bogatyrev},
title = {Effective approach to least deviation problems},
journal = {Sbornik. Mathematics},
pages = {1749--1769},
year = {2002},
volume = {193},
number = {12},
language = {en},
url = {http://geodesic.mathdoc.fr/item/SM_2002_193_12_a1/}
}
A. B. Bogatyrev. Effective approach to least deviation problems. Sbornik. Mathematics, Tome 193 (2002) no. 12, pp. 1749-1769. http://geodesic.mathdoc.fr/item/SM_2002_193_12_a1/
[1] Tikhomirov V. M., Nekotorye voprosy teorii priblizhenii, MGU, M., 1976 | MR
[2] Bernshtein S. N., Ekstremalnye svoistva mnogochlenov, ONTI, M., 1937
[3] Lebedev V. I., “Extremal polynomials with restrictions and optimal algorithms”, Alekseev A. S., Bakhvalov N. S., Advanced mathematics: computation and applications, NCC Publishers, Novosibirsk, 1995, 491–502 | MR
[4] Remez Ya. I., Obschie vychislitelnye metody chebyshevskogo priblizheniya, Izd-vo AN USSR, Kiev, 1957
[5] Lebedev V. I., “A new method for determining the roots of polynomials of least deviation on a segment with weight and subject to additional conditions. I; II”, Russian J. Numer. Anal. Math. Modelling, 8:3 (1993), 195–222 | MR | Zbl
[6] Peherstorfer F., Schiefermayr K., “Description of extremal polynomials on several intervals and their computation. I; II”, Acta Math. Hungar., 83 (1999), 71–102 ; 103–128 | MR
[7] Rokafellar R., Vypuklyi analiz, Mir, M., 1973
[8] Zadachi Arnolda, ed. Sevryuk M. B., Fazis, M., 2000 | MR
[9] Sodin M. L., Yuditskii P. M., “Funktsii, naimenee uklonyayuschiesya ot nulya na zamknutykh podmnozhestvakh deistvitelnoi osi”, Algebra i analiz, 4:2 (1992), 1–61 | MR
[10] Bogatyrev A. B., “Ob effektivnom vychislenii mnogochlenov Chebysheva dlya neskolkikh otrezkov”, Matem. sb., 190:11 (1999), 15–50 | MR | Zbl
[11] Bogatyrev A. B., “Predstavlenie prostranstv modulei krivykh i vychislenie ekstremalnykh mnogochlenov” (to appear)
[12] Bogatyrev A. B., “Ekstremalnye mnogochleny na yazyke grafov” (to appear)
[13] Natanzon S. M., “Moduli veschestvennykh algebraicheskikh krivykh i ikh superanalogov”, UMN, 54:6 (1999), 3–60 | MR | Zbl
[14] Gunning R. C., Lectures on Riemann surfaces, Princeton Univ. Press, Princeton, NJ, 1966 | MR | Zbl
[15] Birman J. S., Braids, links, and mapping class groups, Princeton Univ. Press, Princeton, NJ, 1974 | MR
[16] Vasilev V. A., Vetvyaschiesya integraly, MTsNMO, M., 2000
[17] Griffits F., Kharris Dzh., Printsipy algebraicheskoi geometrii, Mir, M., 1982 | MR