An inequality for the derivative of a polynomial with real coefficients
Izvestiya. Mathematics, Tome 9 (1975) no. 2, pp. 390-394 Cet article a éte moissonné depuis la source Math-Net.Ru

Voir la notice de l'article

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/}
}
TY  - JOUR
AU  - V. I. Buslaev
TI  - An inequality for the derivative of a polynomial with real coefficients
JO  - Izvestiya. Mathematics
PY  - 1975
SP  - 390
EP  - 394
VL  - 9
IS  - 2
UR  - http://geodesic.mathdoc.fr/item/IM2_1975_9_2_a8/
LA  - en
ID  - IM2_1975_9_2_a8
ER  - 
%0 Journal Article
%A V. I. Buslaev
%T An inequality for the derivative of a polynomial with real coefficients
%J Izvestiya. Mathematics
%D 1975
%P 390-394
%V 9
%N 2
%U http://geodesic.mathdoc.fr/item/IM2_1975_9_2_a8/
%G en
%F 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/

[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