On the growth of polynomials
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- by D. Dryanov and Q. I. Rahman PDF
- Proc. Amer. Math. Soc. 126 (1998), 1415-1423 Request permission
Abstract:
Let $f$ be a polynomial of degree $n$ having only real zeros and none in $(-1,1)$. We look for a sharp upper bound for $|f(z)|$ at an arbitrary point of the complex plane ${\mathbb {C}}$ in terms of the supremum norm on $[-1,1]$.References
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Additional Information
- D. Dryanov
- Affiliation: Department of Mathematics, University of Sofia, James Boucher 5, 1126 Sofia, Bulgaria
- Address at time of publication: Département de Mathématiques et de Statistique, Université de Montréal, Montréal, Canada H3C 3J7
- Email: dryanovd@ere.UMontreal.CA
- Q. I. Rahman
- Affiliation: Département de Mathématiques et de Statistique, Université de Montréal, Montréal, Canada H3C 3J7
- Email: rahmanqi@ere.UMontreal.CA
- Received by editor(s): October 16, 1996
- Communicated by: Albert Baernstein II
- © Copyright 1998 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 126 (1998), 1415-1423
- MSC (1991): Primary 30A10, 30C10, 30D15, 41A17
- DOI: https://doi.org/10.1090/S0002-9939-98-04227-0
- MathSciNet review: 1443823
Dedicated: Dedicated to the memory of Professor Paul Erdös