Exponential Box-Like Splines on Nonuniform Grids

Autor:	Thomas Kunkle
Rok vydání:	1999
Předmět:	Box spline General Mathematics B-spline Linear span Exponential polynomial Exponential function Combinatorics Computational Mathematics Smoothing spline Spline (mathematics) Computer Science::Graphics Linear independence Analysis Mathematics
Zdroj:	Constructive Approximation. 15:311-336
ISSN:	1432-0940 0176-4276
DOI:	10.1007/s003659900110
Popis:	We generalize the exponential box spline by allowing it to have arbitrarily spaced knots in any of its directions and derive the corresponding recurrence and differentiation rules. The corresponding spline space is spanned by the shifts of finitely many such splines and contains the usual family of exponential polynomials. The (local) linear independence of the spanning set is equivalent to a geometric condition closely related to unimodularity.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::c1a86972a0e2322075cf799011c765c0 https://doi.org/10.1007/s003659900110 Zobrazit plný text záznamu Plný text ve formátu PDF