Duality and lower bounds for relative projection constants
type: Item
instance of: scholarly article
title: Duality and lower bounds for relative projection constants
zbMATH Open document ID: 0873.41009
author: Knut Petras
published in: Journal of Approximation Theory
publication date: 1995-05-18T00:00:00Z
review text: This paper discusses the use of a duality theorem for the computation of lower bounds for relative projection constants. A first application yields a slight improvement of a lower bound which has already been proved by the author [J. Approximation Theory 62, No. 2, 206-212 (1994; Zbl 0734.41034)]. Further applications concern polynomial projections in the \(L_1\)-space as well as polynomial projections in the multivariate case. The derived lower bounds are asymptotically best possible.
Mathematics Subject Classification ID: 41A10
Mathematics Subject Classification ID: 41A55
zbMATH DE Number: 756644
zbMATH Keywords: duality
zbMATH Keywords: projection constants
zbMATH Keywords: polynomial projections
MaRDI profile type: Publication
OpenAlex ID: W2075329669
DOI: 10.1006/JATH.1995.1035
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description: scientific article; zbMATH DE number 756644