On approximation by Chebyshevian box splines

• Autorzy: Zygmunt Wronicz
• Języki publikacji: EN

Abstrakty

EN

Chebyshevian box splines were introduced in [5]. The purpose of this paper is to show some new properties of them in the case when the weight functions $w_{j}$ are of the form
$w_{j}(x) = W_{j}(v_{n+j}·x)$,
where the functions $W_{j}$ are periodic functions of one variable. Then we consider the problem of approximation of continuous functions by Chebyshevian box splines.

Kategorie tematyczne

• 41A63: Multidimensional problems (should also be assigned at least one other classification number in this section)
• 41A15: Spline approximation
• 41A05: Interpolation
• 41A25: Rate of convergence, degree of approximation

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Annales Polonici Mathematici
• Rocznik: 2002
• Tom: 78
• Numer: 2
• Strony: 111-121

Daty

wydano

2002

Twórcy

autor

Zygmunt Wronicz

• Faculty of Applied Mathematics, Academy of Mining and Metallurgy, Al. Mickiewicza 30, 30-059, Kraków, Poland

Identyfikatory

DOI

10.4064/ap78-2-2