Geodesic
On approximation by Chebyshevian box splines
Zygmunt Wronicz1
1 Faculty of Applied Mathematics Academy of Mining and Metallurgy Al. Mickiewicza 30 30-059, Kraków, Poland
Annales Polonici Mathematici, Tome 78 (2002) no. 2, pp. 111-121.

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

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 $$ w_{j}(x)=W_{j}(v_{n+j}\cdot x), $$ 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.
DOI : 10.4064/ap78-2-2
Keywords: chebyshevian box splines introduced purpose paper properties weight functions form cdot where functions periodic functions variable consider problem approximation continuous functions chebyshevian box splines

Zygmunt Wronicz 1

1 Faculty of Applied Mathematics Academy of Mining and Metallurgy Al. Mickiewicza 30 30-059, Kraków, Poland 
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Zygmunt Wronicz. On approximation by Chebyshevian box splines. Annales Polonici Mathematici, Tome 78 (2002) no. 2, pp. 111-121. doi : 10.4064/ap78-2-2. http://geodesic.mathdoc.fr/articles/10.4064/ap78-2-2/

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