Journalartikel

Jahr der Veröffentlichung: 2002

Seiten: 87-116

Zeitschrift: Constructive Approximation

Bandnummer: 18

Heftnummer: 1

ISSN: 0176-4276

eISSN: 1432-0940

Verlag: Springer

Abstract: 
Stable locally supported bases are constructed for the spaces S-d(r)(Delta) of polynomial splines of degree d greater than or equal to 3r + 2 and smoothness r defined on triangulations A, as well as for various superspline subspaces. In addition, we show that for r greater than or equal to 1, in general, it is impossible to construct bases which are simultaneously stable and locally linearly independent.

Harvard-Zitierstil: Davydov, O. and Schumaker, L. (2002) On stable local bases for bivariate polynomial spline spaces, Constructive Approximation, 18(1), pp. 87-116

APA-Zitierstil: Davydov, O., & Schumaker, L. (2002). On stable local bases for bivariate polynomial spline spaces. Constructive Approximation. 18(1), 87-116.