The aim of this paper is to study the shape preserving properties of B-bases on a finite interval. These bases are obtained by the integer translates of totally positive compactly supported refinable functions. We shall prove that the constructed B-bases generate, on the interval, multiresolution analyses which reproduce polynomials up to a certain degree.
Galerkin Method Based on Refinable Functions / Pezza, Laura. - STAMPA. - 6:(2002), pp. 105-112. (Intervento presentato al convegno MASCOT 01 tenutosi a Roma).
Galerkin Method Based on Refinable Functions
PEZZA, Laura
2002
Abstract
The aim of this paper is to study the shape preserving properties of B-bases on a finite interval. These bases are obtained by the integer translates of totally positive compactly supported refinable functions. We shall prove that the constructed B-bases generate, on the interval, multiresolution analyses which reproduce polynomials up to a certain degree.File allegati a questo prodotto
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