Estimates for local approximations of functions on differential manifold
type: Item
instance of: scholarly article
title: Estimates for local approximations of functions on differential manifold
zbMATH Open document ID: 1490.41019
published in: Journal of Mathematical Sciences (New York)
publication date: 2021-09-13T00:00:00Z
review text: In this paper, approximations by splines, piecewise linear functions, and by other means, to functions on manifolds are analysed. The approach is two-fold: the approximations either take place via tangent planes, or the approximations are carried out by formulating the manifold in a nearby fashion by employing approximating relations. Convergence estimates and error estimates are provided. As a very important special case, the sphere as a manifold is considered, and as a particular choice of means to approximate, interpolation methods are used in another special case.
Mathematics Subject Classification ID: 41A63
Mathematics Subject Classification ID: 41A45
Mathematics Subject Classification ID: 53B21
zbMATH DE Number: 7394448
zbMATH Keywords: approximations on manifolds
zbMATH Keywords: splines
author: Yu. K. Dem'yanovich
reviewed by: Martin D. Buhmann
MaRDI profile type: Publication
full work available at URL: s10958-021-05514-z
OpenAlex ID: W3196693920
Wikidata QID: Q114225217
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cites work: Q4162607
DOI: 10.1007/S10958-021-05514-Z
description: scientific article; zbMATH DE number 7394448