On the convergence of quadratic spline interpolants
type: Item
instance of: scholarly article
title: On the convergence of quadratic spline interpolants
zbMATH Open document ID: 0696.41003
DOI: 10.1016/0021-9045(85)90027-9
author: Edward Neuman
author: Jochen W. Schmidt
published in: Journal of Approximation Theory
publication date: 1985-01-01T00:00:00Z
review text: The norm of the interpolation operator for quadratic spline interpolation ``at the knots'' with one fixed endpoint derivative is developed. While convergence does not hold in general, a certain condition on the spline derivatives at the knots yields an O(h) error bound. In a final section independent of the rest of the paper, a convergent scheme using additional knots is discussed.
Mathematics Subject Classification ID: 41A05
Mathematics Subject Classification ID: 41A15
zbMATH DE Number: 4140442
zbMATH Keywords: interpolation operator
zbMATH Keywords: quadratic spline
MaRDI profile type: Publication
full work available at URL: 0021-9045(85)90027-9
OpenAlex ID: W1979348881
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description: scientific article; zbMATH DE number 4140442