Displaying similar documents to “A local Bernstein inequality on real algebraic varieties.”

Bernstein classes

N. Roytwarf, Yosef Yomdin (1997)

Annales de l'institut Fourier


One of the classical Bernstein inequalities compares the maxima of a polynomial of a given degree on the interval [-1,1] and on the ellipse in the complex plane with the focuses -1, 1 and the semiaxes R . We prove a similar inequality for a branch of an algebraic function of a given degree on the maximal disk of its regularity, with the explicitly given constant, depending on the degree only. In particular, this improves a recent inequality of Fefferman and Narasimhan and answers one...