Inequalities for Lorentz polynomials
Classical Analysis and ODEs
2014-06-12 v1
Abstract
We prove a few interesting inequalities for Lorentz polynomials including Nikolskii-type inequalities. A highlight of the paper is a sharp Markov-type inequality for polynomials of degree at most n with real coefficients and with derivative not vanishing in the open unit disk. The result may be compared with Erdos's classical Markov-type inequality (1940) for polynomials of degree at most n having only real zeros outside the interval (-1,1).
Cite
@article{arxiv.1406.2843,
title = {Inequalities for Lorentz polynomials},
author = {Tamas Erdelyi},
journal= {arXiv preprint arXiv:1406.2843},
year = {2014}
}