A Korovkin-type theorem in the space of Riemann integrable functions
type: Item
instance of: scholarly article
title: A Korovkin-type theorem in the space of Riemann integrable functions
zbMATH Open document ID: 0666.46031
author: Michele Campiti
published in: Collectanea Mathematica
publication date: 1987-01-01T00:00:00Z
full work available at URL: https://eudml.org/doc/38995
review text: We give a characterization of the Korovkin subspaces of the space \({\mathcal R}(X)\) of Riemann integrable functions over a Hausdorff compact topological space X, equipped with the \({\mathcal R}\)-sequential convergence. Some applications are presented in the context of the space of \(2\pi\)- periodic real functions which are Riemann integrable on the compact real interval [0,2\(\pi\) ] and of the space of Riemann integrable functions on the standard simplex and the hypercube of \({\mathbb{R}}^ p\) (p\(\geq 1)\).
Mathematics Subject Classification ID: 46E30
Mathematics Subject Classification ID: 41A36
Mathematics Subject Classification ID: 26A42
zbMATH DE Number: 4090170
zbMATH Keywords: Korovkin subspaces of the space of Riemann integrable functions over a Hausdorff compact topological space
zbMATH Keywords: sequential convergence
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 4090170