Sharp constants in V. A. Markov-Bernstein type inequalities of different metrics

We study relations between sharp constants in the V.A. Markov Bernstein inequalities of different L-r-metrics for algebraic polynomials on an interval and for entire functions on the real line or half-line. In a number of cases, we prove that the sharp constant in the inequality for entire functions of exponential type or semitype is the limit of sharp constants in the corresponding inequalities for algebraic polynomials of degree n as n -> infinity. (C) 2016 Elsevier Inc. All rights reserved.