Geodesic
On an Inequality of S. Bernstein
Canadian journal of mathematics, Tome 34 (1982) no. 4, pp. 932-944

Voir la notice de l'article provenant de la source Cambridge University Press

Let R > 1 and denote by ER the ellipse (1) If Pn is a polynomial of degree at most n such that (2) then ([2]; also see [13, p. 337] and [9, p. 158, Prob. No. 270]) (3) The standard proof of this well known result runs as follows. The function (4) is entire and in view of (2) we have Hence by the maximum modulus principle (5) which is clearly equivalent to (3). 
Frappier, C.; Rahman, Q. I. On an Inequality of S. Bernstein. Canadian journal of mathematics, Tome 34 (1982) no. 4, pp. 932-944. doi: 10.4153/CJM-1982-066-7
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