The zeros of orthogonal polynomials and Markov-Bernstein inequalities for Jacobi-exponential weights on \((-1,1)\)
type: Item
instance of: scholarly article
title: The zeros of orthogonal polynomials and Markov-Bernstein inequalities for Jacobi-exponential weights on \((-1,1)\)
zbMATH Open document ID: 1489.33007
DOI: 10.1155/2020/7805730
author: Rong Liu
published in: Journal of Mathematics
publication date: 2021-01-07T00:00:00Z
review text: Summary: Let \(U(x)=\prod_{i=1}^r |x-t_i|^{p_i}\), \(0<p<\infty\), \(-1= t_r< t_{r-1}<\cdots< t_2< t_1=1\), \(r\geq 2\), \(p_i>-1/p\), \(i=1,2,\dots,r\), and \(W= e^{-Q(x)}\) where \(Q:(-1,1)\longrightarrow [0,\infty)\). We give the estimates of the zeros of orthogonal polynomials for the Jacobi-Exponential weight \(WU\) on \((-1,1)\). In addition, Markov-Bernstein inequalities for the weight \(WU\) are also obtained.
Mathematics Subject Classification ID: 33C45
Mathematics Subject Classification ID: 26D05
Mathematics Subject Classification ID: 41A17
Mathematics Subject Classification ID: 42C05
zbMATH DE Number: 7290901
Wikidata QID: Q115521656
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2020/7805730
OpenAlex ID: W3080473378
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description: scientific article; zbMATH DE number 7290901