Geodesic
An inequality for the derivative of a polynomial with real coefficients
Izvestiya. Mathematics, Tome 9 (1975) no. 2, pp. 390-394 
V. I. Buslaev. An inequality for the derivative of a polynomial with real coefficients. Izvestiya. Mathematics, Tome 9 (1975) no. 2, pp. 390-394. http://geodesic.mathdoc.fr/item/IM2_1975_9_2_a8/
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Voir la notice de l'article provenant de la source Math-Net.Ru

For the derivative of a polynomial with real coefficients we obtain an inequality which involves the distribution of the zeros of the polynomial. It is shown that for polynomials with arbitrary complex coefficients the inequality holds only under additional hypotheses. Bibliography: 3 items.

[1] Bernshtein S. N., Sobr. soch., t. I, AN SSSR, M., 1952

[2] Buslaev V. I., Vitushkin A. G., “Otsenka dliny koda signalov s konechnym spektrom v svyazi s zadachami zvukozapisi”, Izv. AN SSSR. Ser. matem., 38 (1974), 867–895 | MR | Zbl

[3] Markov A. A., Izbrannye trudy po teorii nepreryvnykh drobei i teorii funktsii, naimenee uklonyayuschikhsya ot nulya, OGIZ, M., L., 1948 | MR | Zbl