Same Bernstein-type construction and its applications
Balcerzak, Marek (2015-12-08T11:33:48Z)
Acta Universitatis Lodziensis. Folia Mathematica
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Same Bernstein-type construction and its applications
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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 . 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...
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