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Pregled bibliografske jedinice broj: 839698

Quadratic convergence of approximations by CCC-Schoenberg operators


Bosner, Tina; Rogina, Mladen
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)


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


Projekt / tema
037-1193086-2771 - Numeričke metode u geofizičkim modelima (Saša Singer, )

Ustanove
Prirodoslovno-matematički fakultet, Matematički odjel, Zagreb

Autor s matičnim brojem:
Mladen Rogina, (95213)
Tina Bosner, (248575)

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:


  • Zentrallblatt für Mathematik/Mathematical Abstracts


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