On Nevai's bound for orthogonal polynomials associated with exponential weights
type: Item
instance of: scholarly article
title: On Nevai's bound for orthogonal polynomials associated with exponential weights
zbMATH Open document ID: 0605.42020
DOI: 10.1016/0021-9045(85)90071-1
published in: Journal of Approximation Theory
publication date: 1985-01-01T00:00:00Z
review text: Let \(\{p_ n\}\) be the sequence of orthonormal polynomials for the \(weight\quad function\) \(w(x)=\exp (-x^ m),\) for real x and \(m=2,4,6,..\). The author establishes some bounds on \(w(x)(p_ n(x)- p_{n-2}(x))^ 2\) and \(w(x)p^ 2_ n(x)\). He also studies the relation of the coefficient of the \(three-term\quad recurrence\) for \(\{p_ n\}\) to these bounds.
Mathematics Subject Classification ID: 42C05
Mathematics Subject Classification ID: 33C45
zbMATH DE Number: 3977641
author: Doron S. Lubinsky
reviewed by: Charles F. Dunkl
MaRDI profile type: Publication
full work available at URL: 0021-9045(85)90071-1
OpenAlex ID: W2067740781
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cites work: Exact bounds for orthogonal polynomials associated with exponential weights
description: scientific article; zbMATH DE number 3977641