Finite-infinite-range inequalities in the complex plane
type: Item
instance of: scholarly article
title: Finite-infinite-range inequalities in the complex plane
zbMATH Open document ID: 0774.30004
DOI: 10.1155/S0161171291000868
published in: International Journal of Mathematics and Mathematical Sciences
publication date: 1992-06-28T00:00:00Z
full work available at URL: https://eudml.org/doc/46866
review text: In this paper, the author derives analogues in the plane of the infinite- finite range inequalities that have had so many applications for weighted approximation on the real line. He considers a set \(E\subseteq\mathbb{C}\) and a weight \(w:E\to[0,\infty)\) and investigates the subset \(K\) of \(E\) on which weighted polynomials of the form \(w^ nP_ n\) (degree of \(P_ n\leq n)\) ``live''. This will be of interest to those working in weighted approximation in the plane.
Mathematics Subject Classification ID: 30A10
Mathematics Subject Classification ID: 30C10
Mathematics Subject Classification ID: 30E10
Mathematics Subject Classification ID: 31A99
Mathematics Subject Classification ID: 41A17
zbMATH DE Number: 38585
zbMATH Keywords: infinite-finite range inequalities
zbMATH Keywords: weighted approximation
author: H. N. Mhaskar
reviewed by: Doron S. Lubinsky
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 38585