On operators preserving inequalities between polynomials

Fuente: arXiv
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Main Authors: Gulzar, S., Kumar, Ravinder, Bhat, Mudassir A
Format: Preprint
Published: 2024
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author Gulzar, S.
Kumar, Ravinder
Bhat, Mudassir A
author_facet Gulzar, S.
Kumar, Ravinder
Bhat, Mudassir A
contents 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.
format Preprint
id arxiv_https___arxiv_org_abs_2411_19821
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle On operators preserving inequalities between polynomials
Gulzar, S.
Kumar, Ravinder
Bhat, Mudassir A
Functional Analysis
Complex Variables
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.
title On operators preserving inequalities between polynomials
topic Functional Analysis
Complex Variables
url https://arxiv.org/abs/2411.19821