On approximation by Chebyshevian box splines
Volume 78 / 2002
Annales Polonici Mathematici 78 (2002), 111-121
MSC: 41A15, 41A63, 41A05, 41A25.
DOI: 10.4064/ap78-2-2
Abstract
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.
