Geodesic
Nonnegative polynomials that deviate least from zero in $C[-1,1]$
Konstruktivnaya Teoriya Funktsii i Funktsional'nyi Analiz, Konstruktivnaya Teoriya Funktsii i Funktsional'nyi Analiz, Tome 6 (1987) no. 6, pp. 83-91 Cet article a éte moissonné depuis la source Math-Net.Ru

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     title = {Nonnegative polynomials that deviate least from zero in~$C[-1,1]$},
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A. L. Kuz'mina. Nonnegative polynomials that deviate least from zero in $C[-1,1]$. Konstruktivnaya Teoriya Funktsii i Funktsional'nyi Analiz, Konstruktivnaya Teoriya Funktsii i Funktsional'nyi Analiz, Tome 6 (1987) no. 6, pp. 83-91. http://geodesic.mathdoc.fr/item/KUKTF_1987_6_6_a6/

[1] Krein M. G., Nudelman A. A., Problema momentov Markova i ekstremalnye zadachi, Nauka, M., 1973, 551 pp. | MR

[2] Daugavet I. K., Vvedenie v teoriyu priblizheniya funktsii, Izd-vo Leningradskogo un-ta, L., 1977, 184 pp. | MR | Zbl

[3] Natanson I. P., Konstruktivnaya teoriya funktsii, GITTL, M.–L., 1949, 688 pp. | MR

[4] Sege G., Ortogonalnye mnogochleny, GIFML, M., 1962, 500 pp.

[5] Babenko V. F., Kofanov V. A., “O znakopostoyannykh polinomakh, naimenee uklonyayuschikhsya ot nulya v prostranstvakh $L_p$”, Matematicheskie zametki, 37:2 (1985), 176–185 | MR | Zbl