Asymptotics of entropy integrals for orthogonal polynomials
type: Item
instance of: scholarly article
title: Asymptotics of entropy integrals for orthogonal polynomials
zbMATH Open document ID: 0892.33005
author: V. S. Buyarov
author: A. I. Aptekarev
author: Walter Van Assche
author: Jesús S. Dehesa
published in: Doklady Mathematics
publication date: 1998-01-05T00:00:00Z
review text: Let \(p_n\) be the polynomials that are orthogonalized with respect to the measure \(d\mu\). In this paper the authors obtain certain results concerning the asymptotic behavior of entropy of orthogonal polynomials which is denoted as \(S_n(\mu)= -\int p^2_n(x) \ln p^2_n (x)d \mu(x)\).
Mathematics Subject Classification ID: 33C45
Mathematics Subject Classification ID: 94A17
zbMATH DE Number: 1099455
zbMATH Keywords: entropy integral
zbMATH Keywords: orthogonal polynomials
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 1099455