Quadratic splines smoothing the first derivatives
type: Item
instance of: scholarly article
title: Quadratic splines smoothing the first derivatives
zbMATH Open document ID: 0757.65006
author: Jiří Kobza
published in: Applications of Mathematics
publication date: 1992-09-27T00:00:00Z
full work available at URL: https://eudml.org/doc/15706
review text: The author studies the problem of computing the quadratic spline with knots at \(a=x_ 0<x_ 1<\dots < x_ n<x_{n+1}=b\) which minimizes the expression \(\alpha\int^ b_ a[f''(x)]^ 2dx+\sum^{n+1}_{i=0}w_ i[f'(x_ i)-m_ i]^ 2\) for given values \(\{m_ i\}_ 0^{n+1}\), parameter \(\alpha\) and weights \(w_ i\geq 0\), \(i=0,\dots,n+1\).
Mathematics Subject Classification ID: 65D07
Mathematics Subject Classification ID: 65D05
Mathematics Subject Classification ID: 65D10
Mathematics Subject Classification ID: 41A15
zbMATH DE Number: 64090
zbMATH Keywords: interpolation
zbMATH Keywords: smoothing
zbMATH Keywords: quadratic spline
reviewed by: Borislav D. Bojanov
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 64090