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On approximation by Chebyshevian box splines

Zygmunt Wronicz (2002)

Annales Polonici Mathematici

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.

On convex Bézier triangles

H. Prautzsch (1992)

ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique

On some generalization of box splines

Zygmunt Wronicz (1999)

Annales Polonici Mathematici

We give a generalization of box splines. We prove some of their properties and we give applications to interpolation and approximation of functions.

On the boundedness of the mapping f → | f | in Besov spaces

Patrick Oswald (1992)

Commentationes Mathematicae Universitatis Carolinae

For 1 ≤ p ≤ ∞ , precise conditions on the parameters are given under which the particular superposition operator T : f → | f | is a bounded map in the Besov space B p , q s ( R 1 ) . The proofs rely on linear spline approximation theory.

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