Best approximation of certain classes of smooth functions on the real axis by splines of a higher order
type: Item
instance of: scholarly article
title: Best approximation of certain classes of smooth functions on the real axis by splines of a higher order
zbMATH Open document ID: 0726.41025
DOI: 10.1007/BF01139605
author: Sun Yongsheng
author: Li Chun
published in: Mathematical Notes
publication date: 1990-01-01T00:00:00Z
review text: This paper presents the upper bounds for the error estimates for the best approximations of the functions from the class \(W^ n_ p(R)\) on the real line, \(1\leq p\leq \infty\), by splines \(S_ m\), T or of order \(m^ p\) determined on the mesh T. The authors prove that the obtained bounds are exact for the case of \(p=1,2\) and \(\infty\).
Mathematics Subject Classification ID: 41A50
Mathematics Subject Classification ID: 41A15
Mathematics Subject Classification ID: 41A25
zbMATH DE Number: 4198729
zbMATH Keywords: error estimates
reviewed by: Karel Najzar
MaRDI profile type: Publication
cites work: Functions of exponential type
cites work: Q3883494
cites work: Q4936823
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description: scientific article; zbMATH DE number 4198729