Geodesic
Polynomials with Real Roots
Canadian mathematical bulletin, Tome 5 (1962) no. 3, pp. 259-263

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

In a recent issue of this Bulletin a problem equivalent to the following is proposed by Moser and Pounder [1]:If ax2+bx+c is a polynomial with real coefficients and real roots then a+b+c ≤9/4 max (a, b, c).The object of this note is to prove the following theorems which generalise this result.Theorem 1. Let αn be the smallest constant such that n for all polynomials 1 
Dixon, J. D. Polynomials with Real Roots. Canadian mathematical bulletin, Tome 5 (1962) no. 3, pp. 259-263. doi: 10.4153/CMB-1962-026-4
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[1] 1. Moser, L. and Pounder, J.R., Problem 53, Canadian Mathematical Bulletin, vol. 5 (1962) 70. Google Scholar

[2] 2. Hardy, , Littlewood and Polya, Inequalities, Cambridge University Press (1952). Google Scholar

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