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arXiv · 1406.2560

Coppersmith-Rivlin type inequalities and the order of vanishing of polynomials at 1

Tamas Erdelyi
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Abstract

We examine the maximal number of zeros a polynomial of degree at most n with constrained coefficients may have at 1. Our results are essentially sharp and extend earlier results of this variety. An interesting connection to certain extensions of the Coppersmith-Rivlin inequality is explored.

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Tamas Erdelyi. 2014-06-10. Coppersmith-Rivlin type inequalities and the order of vanishing of polynomials at 1. https://arxiv.org/abs/1406.2560

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