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arXiv · 2403.12200

In search of Newton-type inequalities

Olga Katkova·Boris Shapiro·Anna Vishnyakova
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Abstract

In this paper, we prove a number of results providing either necessary or sufficient conditions guaranteeing that the number of real roots of real polynomials of a given degree is either less or greater than a given number. We also provide counterexamples to two earlier conjectures refining Descartes rule of signs.

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Olga Katkova, Boris Shapiro, Anna Vishnyakova. 2024-03-18. In search of Newton-type inequalities. https://arxiv.org/abs/2403.12200

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