Pregled bibliografske jedinice broj: 839698
Quadratic convergence of approximations by CCC-Schoenberg operators
Quadratic convergence of approximations by CCC-Schoenberg operators // Numerische Mathematik, 135 (2017), 4; 1253-1287 doi:10.1007/s00211-016-0831-0 (međunarodna recenzija, članak, znanstveni)
CROSBI ID: 839698 Za ispravke kontaktirajte CROSBI podršku putem web obrasca
Naslov
Quadratic convergence of approximations by CCC-Schoenberg operators
Autori
Bosner, Tina ; Rogina, Mladen
Izvornik
Numerische Mathematik (0029-599X) 135
(2017), 4;
1253-1287
Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni
Ključne riječi
CCC-splines ; Marsden's identity ; Greville points ; CCC-Schoenberg operators
Sažetak
We generalize to the Canonical Complete Chebyshev splines some properties already known for Extended Chebyshev and piecewise Extended Chebyshev splines, like Marsden identity and Greville points. Also, we represent an interesting algorithm which leads to numerically stable expressions for the Greville points for CCC-splines. We show that any CCC-spline space provides us with infinite number of operators of the Schoenberg-type, and we give a simple characterization of them. After proving few important properties, we establish a sufficient condition for quadratic convergence of approximations by CCC-Schoenberg operators to a given function.
Izvorni jezik
Engleski
Znanstvena područja
Matematika
POVEZANOST RADA
Projekti:
MZOS-037-1193086-2771 - Numeričke metode u geofizičkim modelima (Singer, Saša, MZOS ) ( CroRIS)
Ustanove:
Prirodoslovno-matematički fakultet, Matematički odjel, Zagreb,
Prirodoslovno-matematički fakultet, Zagreb
Citiraj ovu publikaciju:
Časopis indeksira:
- Current Contents Connect (CCC)
- Web of Science Core Collection (WoSCC)
- Science Citation Index Expanded (SCI-EXP)
- SCI-EXP, SSCI i/ili A&HCI
- Scopus
Uključenost u ostale bibliografske baze podataka::
- MathSciNet
- Zentrallblatt für Mathematik/Mathematical Abstracts
