Optimal recovery of three times differentiable functions on a convex polytope inscribed in a sphere
type: Item
instance of: scholarly article
title: Optimal recovery of three times differentiable functions on a convex polytope inscribed in a sphere
zbMATH Open document ID: 1400.41026
published in: Journal of Approximation Theory
publication date: 2018-07-24T00:00:00Z
review text: The author proves the optimality on the class of three times differentiable functions of a certain quasi-interpolating recovery method among all non-adaptive global recovery methods. This is an extension to the optimality for the case of a \(d\)-dimensional simplex, proved for an analogous class of twice differentiable functions. Here, the recovery error is measured in the uniform norm on a \(d\)-dimensional convex polytype inscribed in a sphere and containing its circumcenter.
reviewed by: Neha Malik
Mathematics Subject Classification ID: 41A50
Mathematics Subject Classification ID: 41A63
zbMATH DE Number: 6909906
zbMATH Keywords: multivariate spline
zbMATH Keywords: optimal recovery
zbMATH Keywords: worst-case setting
zbMATH Keywords: Sobolev class
author: Sergiy Borodachov
MaRDI profile type: Publication
full work available at URL: j.jat.2018.05.004
OpenAlex ID: W2806288733
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Wikidata QID: Q129736248
DOI: 10.1016/J.JAT.2018.05.004
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description: scientific article; zbMATH DE number 6909906