On uniform approximation in \(\mathbb R^2\) of continuous Banach-valued functions
type: Item
instance of: scholarly article
title: On uniform approximation in \(\mathbb R^2\) of continuous Banach-valued functions
zbMATH Open document ID: 1108.41016
author: N. Yu. Dodonov
published in: Vestnik St. Petersburg University. Mathematics
publication date: 2007-02-05T00:00:00Z
review text: Given a Banach space \(X\), a family of linear operators \(V\) is constructed such that \(Vf\) is a uniform approximation to \(f\) for every continuous function \(f: {\mathbb R}^2 \to X\) having bounded variation in the sense of Hardy. Estimates of the error \(f-Vf\) in terms of the second order modulus of continuity \(\omega_2(f)\) are obtained. Some notations and the overall motivation of the article are unclear.
Mathematics Subject Classification ID: 41A45
Mathematics Subject Classification ID: 41A65
Mathematics Subject Classification ID: 26B30
zbMATH DE Number: 5122306
zbMATH Keywords: uniform
zbMATH Keywords: Banach-valued
zbMATH Keywords: bounded variation
zbMATH Keywords: modulus of continuity
reviewed by: Yuly Makovoz
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 5122306