On approximation by Chebyshevian box splines

Zygmunt Wronicz

Zygmunt Wronicz

Annales Polonici Mathematici, Tome 79 (2002), p. 111-121 / Harvested from The Polish Digital Mathematics Library

Résumé

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.

Publié le : 2002-01-01

Zbl 0994.41009

EUDML-ID : urn:eudml:doc:280601

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     year = {2002},
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Zygmunt Wronicz. On approximation by Chebyshevian box splines. Annales Polonici Mathematici, Tome 79 (2002) pp. 111-121. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-ap78-2-2/