Uniform subexponential growth of orthogonal polynomials
type: Item
instance of: scholarly article
title: Uniform subexponential growth of orthogonal polynomials
zbMATH Open document ID: 0828.42011
published in: Journal of Approximation Theory
publication date: 1995-01-01T00:00:00Z
review text: The author gives a short and elegant proof of a result due to \textit{J. Zhang} [Linear Algebra Appl. 186, 97-115 (1993; Zbl 0769.41006)], stating that orthonormal polynomials with asymptotically periodic recurrence coefficients exhibit uniform subexponential growth on the entire support of the orthogonalizing measure. The proof is based on estimates involving the Christoffel-Darboux identity.
reviewed by: Marcel G. de Bruin
Mathematics Subject Classification ID: 42C05
zbMATH DE Number: 756621
zbMATH Keywords: orthonormal polynomials
zbMATH Keywords: asymptotically periodic recurrence coefficients
zbMATH Keywords: subexponential growth
zbMATH Keywords: Christoffel-Darboux identity
author: Ryszard Szwarc
MaRDI profile type: Publication
OpenAlex ID: W2040911526
DOI: 10.1006/JATH.1995.1051
description: scientific article; zbMATH DE number 756621