Interpolation of cones and shape-preserving approximation
type: Item
instance of: scholarly article
title: Interpolation of cones and shape-preserving approximation
zbMATH Open document ID: 1018.41001
author: Inna Kozlov
published in: Journal of Approximation Theory
publication date: 2003-04-02T00:00:00Z
review text: The author presents a new approach to shape preserving approximation based on the real interpolation of Banach cones. The basic problem is a Peetre-Sparr type theorem related to interpolation cones to approximation spaces with cone restrictions. Possibilities of this approach were demonstrated in the case of the cone of nonnegative functions in the couples of Sobolev and Besov spaces.
Mathematics Subject Classification ID: 41A05
Mathematics Subject Classification ID: 41A29
Mathematics Subject Classification ID: 46B70
zbMATH DE Number: 1891481
zbMATH Keywords: shape-preserving approximation
zbMATH Keywords: real interpolation
zbMATH Keywords: Banach cones
reviewed by: Yuri A. Brudnyi
MaRDI profile type: Publication
full work available at URL: jath.2002.3686
OpenAlex ID: W2078678155
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DOI: 10.1006/JATH.2002.3686
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description: scientific article; zbMATH DE number 1891481