Equilibrium measure and limit zeros distribution of extremal weighted polynomials
type: Item
instance of: scholarly article
title: Equilibrium measure and limit zeros distribution of extremal weighted polynomials
zbMATH Open document ID: 0814.30004
DOI: 10.1016/0893-9659(94)90015-9
author: V. Pereyra
published in: Applied Mathematics Letters
publication date: 1994-09-22T00:00:00Z
review text: For sequences of weighted polynomials, which are defined in a slightly different way than usually, the asymptotic zero distributions are investigated. Conditions are given that ensure that the zeros of these polynomials have a weighted equilibrium measure as their asymptotic distribution. The main theorem generalizes a classical result about the asymptotic distribution of zeros of polynomials extremal in the \(L^ \infty\)-norm.
Mathematics Subject Classification ID: 30C10
Mathematics Subject Classification ID: 26C10
zbMATH DE Number: 643824
zbMATH Keywords: weighted polynomials
zbMATH Keywords: equilibrium measure
reviewed by: Herbert Stahl
MaRDI profile type: Publication
full work available at URL: 0893-9659(94)90015-9
OpenAlex ID: W2052657473
cites work: Jentzsch-Szegö Type Theorems for the Zeros of Best Approximants
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cites work: Q4307201
cites work: Where does the sup norm of a weighted polynomial live? (A generalization of incomplete polynomials)
cites work: Weighted analogues of capacity, transfinite diameter, and Chebyshev constant
cites work: The distribution of zeros of asymptotically extremal polynomials
cites work: Q5666837
Wikidata QID: Q127396144
description: scientific article; zbMATH DE number 643824