Certain extremal problems for polynomials

Dryanov, D.; Qazi, M.; Rahman, Q.

doi:10.1090/S0002-9939-03-07110-7

Certain extremal problems for polynomials
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by D. P. Dryanov, M. A. Qazi and Q. I. Rahman PDF

Proc. Amer. Math. Soc. 131 (2003), 2741-2751 Request permission

Abstract:

Extensions of two classical results about polynomials, one due to W. Markov and the other due to Duffin and Schaeffer, are obtained in this paper. An interesting result of S. Bernstein, which went unnoticed until it was rediscovered by P. Erdős, $34$ years later, is also generalized. Our results are especially amenable to numerical calculations, and may, therefore, be of some practical importance.

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