A discrete Korovkin theorem
type: Item
instance of: scholarly article
title: A discrete Korovkin theorem
zbMATH Open document ID: 0571.41020
DOI: 10.1016/0021-9045(85)90034-6
published in: Journal of Approximation Theory
publication date: 1985-01-01T00:00:00Z
review text: In this paper we give a sufficient condition for the pointwise Korovkin property on B(X), the space of bounded real valued functions on an arbitrary countable set \(X=\{x_ 1,...,x_ j,...\}\). Our theorem follows from its \(L_ p(X,\mu)\) analogue (and conversely); here \(1\leq p<\infty\) and \(\mu\) is a positive finite measure on X such that \(\mu (\{x_ j\})>0\) for all j.
Mathematics Subject Classification ID: 41A36
zbMATH DE Number: 3910992
zbMATH Keywords: Korovkin property
author: George A. Anastassiou
MaRDI profile type: Publication
full work available at URL: 0021-9045(85)90034-6
OpenAlex ID: W4213313851
cites work: Approximation and Abstract Boundaries
cites work: Q5509729
cites work: Q5534404
cites work: Introdction to Measure and Probability
cites work: Q3272104
cites work: Geometric theory of Korovkin sets
cites work: Korovkin systems in spaces of continuous functions
description: scientific article; zbMATH DE number 3910992