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# Wydawnictwa / Czasopisma IMPAN / Annales Polonici Mathematici / Wszystkie zeszyty

## On approximation by Chebyshevian box splines

### Tom 78 / 2002

Annales Polonici Mathematici 78 (2002), 111-121 MSC: 41A15, 41A63, 41A05, 41A25. DOI: 10.4064/ap78-2-2

#### Streszczenie

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.

#### Autorzy

• Zygmunt WroniczFaculty of Applied Mathematics