Interpolating scaling functions, Bernstein polynomials and nonstationary wavelets.

Pierre Gilles Lemarié-Rieusset

Revista Matemática Iberoamericana (1997)

  • Volume: 13, Issue: 1, page 91-188
  • ISSN: 0213-2230

Abstract

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The theory of convergence for (non-stationary) scaling functions and the approximation of interpolating scaling filters by means of Bernstein polynomials, allow us to construct a non-stationary interpolating scaling function with interesting approximation properties.

How to cite

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Lemarié-Rieusset, Pierre Gilles. "Fonctions d'échelle interpolantes, polynômes de Bernstein et ondelettes non stationnaires.." Revista Matemática Iberoamericana 13.1 (1997): 91-188. <http://eudml.org/doc/39528>.

@article{Lemarié1997,
author = {Lemarié-Rieusset, Pierre Gilles},
journal = {Revista Matemática Iberoamericana},
keywords = {Funciones de escala; Transformada de Fourier; Algoritmos de filtro; Interpolación; Ondículas; Polinomios de Bernstein; nonstationary wavelets; multiresolution analyses; Berkolajko-Novikov theory; Bernstein polynomials; scaling interpolating functions},
language = {fre},
number = {1},
pages = {91-188},
title = {Fonctions d'échelle interpolantes, polynômes de Bernstein et ondelettes non stationnaires.},
url = {http://eudml.org/doc/39528},
volume = {13},
year = {1997},
}

TY - JOUR
AU - Lemarié-Rieusset, Pierre Gilles
TI - Fonctions d'échelle interpolantes, polynômes de Bernstein et ondelettes non stationnaires.
JO - Revista Matemática Iberoamericana
PY - 1997
VL - 13
IS - 1
SP - 91
EP - 188
LA - fre
KW - Funciones de escala; Transformada de Fourier; Algoritmos de filtro; Interpolación; Ondículas; Polinomios de Bernstein; nonstationary wavelets; multiresolution analyses; Berkolajko-Novikov theory; Bernstein polynomials; scaling interpolating functions
UR - http://eudml.org/doc/39528
ER -

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