Critical length for design purposes and extended Chebyshev spaces
type: Item
instance of: scholarly article
title: Critical length for design purposes and extended Chebyshev spaces
zbMATH Open document ID: 1061.41004
author: J. M. Carnicer
author: J. M. Peña
author: Esmeralda Mainar
published in: Constructive Approximation
publication date: 2004-09-22T00:00:00Z
review text: The authors analyze the connection between classes of spaces generated by a basis designed for different purposes. These include spaces generated by an extended Chebyshev basis, designed for Hermite interpolation; B-basis, for shape preserving properties; totally positive-basis; Bernstein basis; normalized basis; bicanonical basis; etc. Attention is paid to uses of the spaces for geometric design and modeling as well as for design purposes. An interesting example is presented of the space with the blended basis \(\{ 1, t, t^2 , \sin t, \cos t \}\).
Mathematics Subject Classification ID: 41A10
Mathematics Subject Classification ID: 42A10
Mathematics Subject Classification ID: 41A30
zbMATH DE Number: 2101900
reviewed by: Daniel Wulbert
MaRDI profile type: Publication
Recommended article: Design with quasi extended Chebyshev piecewise spaces
Recommended article: Piecewise extended Chebyshev spaces: a numerical test for design
Recommended article: Blossoming beyond extended Chebyshev spaces
Recommended article: Extremal length and uniformization
Recommended article: A Chebyshev criterion with applications
Recommended article: Q3594140
Recommended article: Extended Chebyshev spaces in rationality
Recommended article: On the length of space curves of constant width
Recommended article: Extremal length in higher dimensions and complex systolic inequalities
Recommended article: A differential formula of extremal length and its applications
description: scientific article; zbMATH DE number 2101900