Markov-type estimates for certain classes of constrained polynomials
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Establishing Markov-type inequalities for the derivatives of polynomials with restricted zeros was initiated by P. Erdös  in 1940. Since then several authors proved similar estimates for the derivatives of polynomials of special type. In this paper we work on [-1, 1] and obtain Markov-type estimates for the derivatives of polynomials from a rather wide family of classes of constrained polynomials. In some cases the results turn out to be sharp. © 1989 Springer-Verlag New York Inc.
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