Geodesic
Polynomials with Critical Values on Intervals
Matematičeskie zametki, Tome 78 (2005) no. 6, pp. 827-832.

Voir la notice de l'article provenant de la source Math-Net.Ru

For polynomials $P(z)$ with real coefficients having a fixed leading coefficient and satisfying the conditions $P(z)\in[-1,1]$ for $z\in[-1,1]$ and $P(z)\in[-1,1]$ if $P'(z)=0$, we obtain new covering theorems, a Bernshtein-type inequality, and inequalities for the coefficients. The proofs are based on the use of univalent conformal mappings. 
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V. N. Dubinin. Polynomials with Critical Values on Intervals. Matematičeskie zametki, Tome 78 (2005) no. 6, pp. 827-832. http://geodesic.mathdoc.fr/item/MZM_2005_78_6_a2/

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