Inequalities for polynomials with restricted coefficients
type: Item
instance of: scholarly article
title: Inequalities for polynomials with restricted coefficients
zbMATH Open document ID: 0655.30005
DOI: 10.1007/BF02796118
author: Clément Frappier
published in: Journal d'Analyse Mathématique
publication date: 1988-01-01T00:00:00Z
review text: In a previous paper [\textit{C. Frappier}, \textit{Q. I. Rahman} and \textit{St. Ruscheweyh}, Trans. Am. Math. Soc. 288, 69-99 (1985; Zbl 0567.30006)], various results pertaining to refinements of the inequalities of Bernstein and M. Riesz for polynomials have been obtained. The author continues the study further and using similar methods of proof obtains new results of the same kind. It is discussed that in a certain sense the results obtained are best possible.
Mathematics Subject Classification ID: 30C10
Mathematics Subject Classification ID: 26C05
Mathematics Subject Classification ID: 26D20
Mathematics Subject Classification ID: 41A17
zbMATH DE Number: 4069257
zbMATH Keywords: Bernstein polynomial
zbMATH Keywords: Riesz polynomial
zbMATH Keywords: Bernstein inequality
zbMATH Keywords: Hadamard product
reviewed by: Ganesh Datta Dikshit
MaRDI profile type: Publication
cites work: Q3799086
cites work: Inequalities for polynomials with two equal coefficients
cites work: New Inequalities for Polynomials
cites work: Q3254327
cites work: Q3964830
description: scientific article; zbMATH DE number 4069257