A simple approach to cardinal Lagrange and periodic Lagrange splines
type: Item
instance of: scholarly article
title: A simple approach to cardinal Lagrange and periodic Lagrange splines
zbMATH Open document ID: 0624.41011
DOI: 10.1016/0021-9045(86)90035-3
author: B. George
published in: Journal of Approximation Theory
publication date: 1986-01-01T00:00:00Z
review text: The author considers the cardinal spline interpolation problem of finding an element in \(S_ n\) which interpolates to some given function f at the integers Z, where \(s_ n\) is the space of cardinal splines of degree n having (simple) knots at \(-h+Z\), with \(0\leq h<1\). An explicit expression is derived by using a simple approach to the cardinal Lagrange spline as a combination of decreasing null splines and a polynomial correction term near the origin. Many qualitative properties, new and old, are obtained as immediate consequences. The periodic analogue is also discussed. This method is much simpler than the previous work and is readily generalized to cardinal L-splines.
Mathematics Subject Classification ID: 41A15
zbMATH DE Number: 4013217
zbMATH Keywords: cardinal spline interpolation
zbMATH Keywords: cardinal Lagrange spline
zbMATH Keywords: cardinal L- splines
reviewed by: R. S. Dahiya
MaRDI profile type: Publication
full work available at URL: 0021-9045(86)90035-3
OpenAlex ID: W2086190164
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description: scientific article; zbMATH DE number 4013217