Variational principles in curve design
type: Item
instance of: scholarly article
title: Variational principles in curve design
zbMATH Open document ID: 0807.65009
published in: Journal of Complexity
publication date: 1994-08-17T00:00:00Z
review text: In the Hermite interpolation problem for vector-valued functions on a partitioned interval \([a,b]\) a functional \(I\) is defined on the space of interpolatory functions. It uses function values and integrals of the functions and their derivatives. The paper characterizes those interpolating functions which have a minimal value of \(I\) as piecewise solutions to certain linear differential equations.
Mathematics Subject Classification ID: 65D17
Mathematics Subject Classification ID: 41A05
Mathematics Subject Classification ID: 65D05
zbMATH DE Number: 614375
zbMATH Keywords: curve design
zbMATH Keywords: Hermite interpolation
zbMATH Keywords: vector-valued functions
author: Hans Strauss
reviewed by: Willy J. F. Govaerts
MaRDI profile type: Publication
full work available at URL: jcom.1993.1029
OpenAlex ID: W2015064370
DOI: 10.1006/JCOM.1993.1029
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description: scientific article; zbMATH DE number 614375