On operators preserving inequalities between polynomials
Functional Analysis
2024-12-02 v1 Complex Variables
Abstract
In this review paper, we explore operator aspects in extremal properties of Bernstein-type polynomial inequalities. We shall also see that a linear operator which send polynomials to polynomials and have zero-preserving property naturally preserve Bernstein's inequality.
Cite
@article{arxiv.2411.19821,
title = {On operators preserving inequalities between polynomials},
author = {S. Gulzar and Ravinder Kumar and Mudassir A Bhat},
journal= {arXiv preprint arXiv:2411.19821},
year = {2024}
}
Comments
Polynomials, Inequalities in complex domain, Bernstein's Inequality, Gauss-Lucas theorem