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by Peter Borwein, Tamás Erdélyi
http://hankel.math.tamu.edu/~terdelyi/papers-online/newmarkov.pdf
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Abstract:
Abstract. Let Fn denote the set of polynomials of degree at most n with coefficients from {−1, 0, 1}. LetGnbe the collection of polynomials p of the form p(x) = nX j=m ajx j, |am|=1, |aj|≤1, where m is an unspecified nonnegative integer not greater than n. We establish the right Markov-type inequalities for the classes Fn and Gn on [0, 1]. Namely there are absolute constants C1> 0andC2>0 such that and C1n log(n +1) ≤ max
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