An inequality for the derivative of a polynomial with real coefficients
Izvestiya. Mathematics, Tome 9 (1975) no. 2, pp. 390-394
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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.
@article{IM2_1975_9_2_a8,
author = {V. I. Buslaev},
title = {An inequality for the derivative of a~polynomial with real coefficients},
journal = {Izvestiya. Mathematics},
pages = {390--394},
year = {1975},
volume = {9},
number = {2},
language = {en},
url = {http://geodesic.mathdoc.fr/item/IM2_1975_9_2_a8/}
}
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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[3] Markov A. A., Izbrannye trudy po teorii nepreryvnykh drobei i teorii funktsii, naimenee uklonyayuschikhsya ot nulya, OGIZ, M., L., 1948 | MR | Zbl