Details
| Originalsprache | Englisch |
|---|---|
| Seiten (von - bis) | 285-298 |
| Seitenumfang | 14 |
| Fachzeitschrift | Journal of Computational and Applied Mathematics |
| Jahrgang | 196 |
| Ausgabenummer | 1 |
| Frühes Online-Datum | 7 Nov. 2005 |
| Publikationsstatus | Veröffentlicht - 1 Nov. 2006 |
Abstract
Piecewise generalized polynomials of different kinds of order n (ECT-splines of order n) are constructed from different ECT-systems of order n via connection matrices which are nonsingular and totally positive. A well-known zero count for polynomial splines is extended to ECT-splines. It is used to construct ECT-B-splines and to show under which conditions ECT-splines will solve modified Hermite-type interpolation problems. Also conditions are specified such that piecewise generalized polynomials form rECT-systems and the interpolation problems associated with may be solved recursively.
ASJC Scopus Sachgebiete
- Mathematik (insg.)
- Computational Mathematics
- Mathematik (insg.)
- Angewandte Mathematik
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in: Journal of Computational and Applied Mathematics, Jahrgang 196, Nr. 1, 01.11.2006, S. 285-298.
Publikation: Beitrag in Fachzeitschrift › Artikel › Forschung › Peer-Review
}
TY - JOUR
T1 - One sided Hermite interpolation by piecewise different generalized polynomials
AU - Mühlbach, G.
PY - 2006/11/1
Y1 - 2006/11/1
N2 - Piecewise generalized polynomials of different kinds of order n (ECT-splines of order n) are constructed from different ECT-systems of order n via connection matrices which are nonsingular and totally positive. A well-known zero count for polynomial splines is extended to ECT-splines. It is used to construct ECT-B-splines and to show under which conditions ECT-splines will solve modified Hermite-type interpolation problems. Also conditions are specified such that piecewise generalized polynomials form rECT-systems and the interpolation problems associated with may be solved recursively.
AB - Piecewise generalized polynomials of different kinds of order n (ECT-splines of order n) are constructed from different ECT-systems of order n via connection matrices which are nonsingular and totally positive. A well-known zero count for polynomial splines is extended to ECT-splines. It is used to construct ECT-B-splines and to show under which conditions ECT-splines will solve modified Hermite-type interpolation problems. Also conditions are specified such that piecewise generalized polynomials form rECT-systems and the interpolation problems associated with may be solved recursively.
KW - ECT-systems
KW - Generalized piecewise polynomials
KW - Generalized polynomials
KW - Modified Hermite interpolation
KW - One sided Hermite interpolation
UR - http://www.scopus.com/inward/record.url?scp=30844455428&partnerID=8YFLogxK
U2 - 10.1016/j.cam.2005.06.045
DO - 10.1016/j.cam.2005.06.045
M3 - Article
AN - SCOPUS:30844455428
VL - 196
SP - 285
EP - 298
JO - Journal of Computational and Applied Mathematics
JF - Journal of Computational and Applied Mathematics
SN - 0377-0427
IS - 1
ER -