Refinable functions and positive operators

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• 作者：Gori ; Laura ; Pitolli ; Francesca
• 关键词：Total positivity ; B-bases ; Linear operators ; Multiresolution analysis
• 刊名：Applied Numerical Mathematics
• 出版年：2004
• 出版时间：June, 2004
• 年：2004
• 卷：49
• 期：3-4
• 页码：381-393
• 全文大小：173 K

文摘

The aim of this paper is to study the shape preserving properties of some positive operators constructed by means 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.