On approximation by Chebyshevian box splines

Zygmunt Wronicz

Annales Polonici Mathematici (2002)

  • Volume: 78, Issue: 2, page 111-121
  • ISSN: 0066-2216

Abstract

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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.

How to cite

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Zygmunt Wronicz. "On approximation by Chebyshevian box splines." Annales Polonici Mathematici 78.2 (2002): 111-121. <http://eudml.org/doc/280601>.

@article{ZygmuntWronicz2002,
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 $w_\{j\}(x) = W_\{j\}(v_\{n+j\}·x)$, 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.},
author = {Zygmunt Wronicz},
journal = {Annales Polonici Mathematici},
keywords = {box splines; Chebyshevian splines; interpolation; approximation},
language = {eng},
number = {2},
pages = {111-121},
title = {On approximation by Chebyshevian box splines},
url = {http://eudml.org/doc/280601},
volume = {78},
year = {2002},
}

TY - JOUR
AU - Zygmunt Wronicz
TI - On approximation by Chebyshevian box splines
JO - Annales Polonici Mathematici
PY - 2002
VL - 78
IS - 2
SP - 111
EP - 121
AB - 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.
LA - eng
KW - box splines; Chebyshevian splines; interpolation; approximation
UR - http://eudml.org/doc/280601
ER -

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