An extremal property for Chebyshev polynomials
type: Item
instance of: scholarly article
title: An extremal property for Chebyshev polynomials
zbMATH Open document ID: 0761.41030
DOI: 10.1016/0021-9045(92)90112-2
author: Xiaoming Huang
published in: Journal of Approximation Theory
publication date: 1993-01-17T00:00:00Z
review text: Among the class of \(n\)th degree polynomials in the unit leading coefficient, Chebyshev polynomials possess the least deviation from zero on the interval \([-1,1]\) with certain norms. This result is carefully generalized here. The main conclusions are presented in the form of three theorems and three corollaries. Proofs of all the theorems are provided with the help of four lemmas. The results are of immense value and hold hope for further extensions.
Mathematics Subject Classification ID: 41A50
zbMATH DE Number: 97524
zbMATH Keywords: Chebyshev polynomials
MaRDI profile type: Publication
full work available at URL: 0021-9045(92)90112-2
OpenAlex ID: W2076335642
cites work: Q3785328
cites work: Some remarks on multivariate Chebyshev polynomials
description: scientific article; zbMATH DE number 97524