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. © 2004 Published by Elsevier B.V. on behalf of IMACS.
Refinable functions and positive operators / Gori, Laura; Pitolli, Francesca. - In: APPLIED NUMERICAL MATHEMATICS. - ISSN 0168-9274. - STAMPA. - 49:3-4(2004), pp. 381-393. [10.1016/j.apnum.2003.12.015]
Refinable functions and positive operators
GORI, Laura;PITOLLI, Francesca
2004
Abstract
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. © 2004 Published by Elsevier B.V. on behalf of IMACS.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
