Approximation of differential functions and their derivatives by parabolic splines
type: Item
instance of: scholarly article
title: Approximation of differential functions and their derivatives by parabolic splines
zbMATH Open document ID: 0558.41015
DOI: 10.1007/BF01056220
author: N. P. Korneichuk
published in: Ukrainian Mathematical Journal
publication date: 1983-01-01T00:00:00Z
review text: The paper deals with the interpolation parabolic splines. The aim is to approximate not only the function but also its derivative in the metric of space C and \(L_ p\), \(1\leq p\leq \infty\). The problem of finding the exact estimation of the error on classes of functions is solved by studying the case in a particular interval of the partition.
Mathematics Subject Classification ID: 41A15
zbMATH DE Number: 3890071
zbMATH Keywords: parabolic splines
zbMATH Keywords: exact estimation of the error
reviewed by: Carmen Simerská
MaRDI profile type: Publication
cites work: Q5602378
cites work: On n-widths and interpolation by polynomial splines
cites work: Optimal error bounds for cubic spline interpolation
cites work: Q3911932
full work available at URL: https://doi.org/10.1007/bf01056220
OpenAlex ID: W2052545097
description: scientific article; zbMATH DE number 3890071