Power majorization between the roots of two polynomials
Classical Analysis and ODEs
2022-01-20 v2 Functional Analysis
Abstract
It is shown that if two hyperbolic polynomials have a particular factorization into quadratics, then their roots satisfy a power majorization relation whenever key coefficients in their factorizations satisfy a corresponding majorization relation. In particular, a numerical observation by Kleme\v{s} is confirmed.
Cite
@article{arxiv.1610.01449,
title = {Power majorization between the roots of two polynomials},
author = {Minghua Lin and Gord Sinnamon},
journal= {arXiv preprint arXiv:1610.01449},
year = {2022}
}