Certain extremal problems for polynomials |
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| Authors: | D. P. Dryanov M. A. Qazi Q. I. Rahman |
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| Affiliation: | Département de Mathématiques et de Statistique, Université de Montréal, Montréal, Québec, Canada H3C 3J7 ; Department of Mathematics, Tuskegee University, Tuskegee, Alabama 36088 ; Département de Mathématiques et de Statistique, Université de Montréal, Montréal, Québec, Canada H3C 3J7 |
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| 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. Erdos,  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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| Keywords: | Polynomials inequalities coefficient estimates growth |
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