Geodesic
Bernstein-Type Inequalities with Bombieri Norm
Canadian mathematical bulletin, Tome 39 (1996) no. 2, pp. 151-163

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If is an univariate polynomial with degree n then Bombieri norm of P is defined by where denotes the binomial coefficient.In the present paper we give, under assumptions on the roots of P, optimal Bernsteintype inequalities for the ratio between Bombieri norm of P and that of its derivative P′.We also give such inequalities for the polar derivatives of P defined by
DOI : 10.4153/CMB-1996-019-5
Mots-clés : 30C15, 41A17, polynomial, Bernstein inequality, Bombieri norm, roots, polar derivatives 
Beaucoup, Franck; Souchon, Catherine. Bernstein-Type Inequalities with Bombieri Norm. Canadian mathematical bulletin, Tome 39 (1996) no. 2, pp. 151-163. doi: 10.4153/CMB-1996-019-5
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     title = {Bernstein-Type {Inequalities} with {Bombieri} {Norm}},
     journal = {Canadian mathematical bulletin},
     pages = {151--163},
     year = {1996},
     volume = {39},
     number = {2},
     doi = {10.4153/CMB-1996-019-5},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1996-019-5/}
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