On the convexity of functional splines
type: Item
instance of: scholarly article
title: On the convexity of functional splines
zbMATH Open document ID: 0777.41012
DOI: 10.1016/0167-8396(93)90016-V
author: Erich Hartmann
author: Yuyu Feng
published in: Computer Aided Geometric Design
publication date: 1993-06-29T00:00:00Z
review text: We prove the convexity of large classes of functional splines with help of results on quasiconcave and pseudoconcave functions. The method developed for functional splines can also be used for smooth approximations of convex polyhedrons and some other convex surfaces.
Mathematics Subject Classification ID: 41A15
Mathematics Subject Classification ID: 65D17
Mathematics Subject Classification ID: 65D07
zbMATH DE Number: 221669
zbMATH Keywords: concavity
zbMATH Keywords: pseudoconcave functions
zbMATH Keywords: functional splines
MaRDI profile type: Publication
cites work: Generalized concavity
cites work: Q3328295
cites work: Criteria for quasi-convexity and pseudo-convexity: Relationships and comparisons
cites work: Blending of implicit surfaces with functional splines
cites work: \(G^{n-1}\)-functional splines for interpolation and approximation of curves, surfaces and solids
cites work: Another Proof that Convex Functions are Locally Lipschitz
full work available at URL: 0167-8396(93)90016-v
OpenAlex ID: W2057375689
description: scientific article; zbMATH DE number 221669