Optimal spline spaces for $L^2$ $n$-width problems with boundary conditions

Autor:	Floater, Michael S., Sande, Espen
Rok vydání:	2017
Předmět:	Mathematics - Numerical Analysis Mathematics - Classical Analysis and ODEs
Zdroj:	Constr Approx (2019) 50:1
Druh dokumentu:	Working Paper
DOI:	10.1007/s00365-018-9427-5
Popis:	In this paper we show that, with respect to the $L^2$ norm, three classes of functions in $H^r(0,1)$, defined by certain boundary conditions, admit optimal spline spaces of all degrees $\geq r-1$, and all these spline spaces have uniform knots. Comment: 17 pages, 4 figures. Fixed a typo. Article published in Constructive Approximation
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1709.02710 Zobrazit plný text záznamu View this record from Arxiv