In search of Newton-type inequalities
Complex Variables
2024-03-20 v1 Classical Analysis and ODEs
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.
Keywords
Cite
@article{arxiv.2403.12200,
title = {In search of Newton-type inequalities},
author = {Olga Katkova and Boris Shapiro and Anna Vishnyakova},
journal= {arXiv preprint arXiv:2403.12200},
year = {2024}
}