Polynomials with a parabolic majorant and the Duffin-Schaeffer inequality
type: Item
instance of: scholarly article
title: Polynomials with a parabolic majorant and the Duffin-Schaeffer inequality
zbMATH Open document ID: 0756.41014
DOI: 10.1016/0021-9045(92)90007-B
author: A. O. Watt
author: Qazi I. Rahman
published in: Journal of Approximation Theory
publication date: 1993-01-16T00:00:00Z
review text: Here is given a very nice result which can be looked upon as an inequality for polynomials with the parabolic majorant. This is an extension of a famous, old inequality due to Duffin and Schaeffer dealing essentially with the relation between an \(n\)th degree polynomial and the \(n\)th Chebyshev polynomial. A number of auxiliary results are quoted with proof in most cases. Bounds for relevant magnitudes are obtained. A proof of the authors' main theorem is then given and it is followed by additional contributions and remarks on their theorem.
Mathematics Subject Classification ID: 41A10
zbMATH DE Number: 89637
zbMATH Keywords: parabolic majorant
zbMATH Keywords: Chebyshev polynomial
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 89637