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Volume 16, Issue 4
Notes on Refinable Functions

Xi-Quan Shi, Hao Deng & Hong-Fei Lin

J. Comp. Math., 16 (1998), pp. 319-326.

Published online: 1998-08

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  • Abstract

In this paper some  properties of refinable functions and some relationships between the mask symbol and the refinable functions are studied. Especially, it is illustrated by examples that the linear spaces formed by the translates over the lattice points of refinable functions may contain polynomial spaces of degree higher than the smooth order of the corresponding refinable functions.


  • Keywords

Mask, Symbol, Refinable Function.

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COPYRIGHT: © Global Science Press

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@Article{JCM-16-319, author = {Shi , Xi-QuanDeng , Hao and Lin , Hong-Fei}, title = {Notes on Refinable Functions}, journal = {Journal of Computational Mathematics}, year = {1998}, volume = {16}, number = {4}, pages = {319--326}, abstract = {

In this paper some  properties of refinable functions and some relationships between the mask symbol and the refinable functions are studied. Especially, it is illustrated by examples that the linear spaces formed by the translates over the lattice points of refinable functions may contain polynomial spaces of degree higher than the smooth order of the corresponding refinable functions.


}, issn = {1991-7139}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/jcm/9162.html} }
TY - JOUR T1 - Notes on Refinable Functions AU - Shi , Xi-Quan AU - Deng , Hao AU - Lin , Hong-Fei JO - Journal of Computational Mathematics VL - 4 SP - 319 EP - 326 PY - 1998 DA - 1998/08 SN - 16 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/jcm/9162.html KW - Mask, Symbol, Refinable Function. AB -

In this paper some  properties of refinable functions and some relationships between the mask symbol and the refinable functions are studied. Especially, it is illustrated by examples that the linear spaces formed by the translates over the lattice points of refinable functions may contain polynomial spaces of degree higher than the smooth order of the corresponding refinable functions.


Xi-Quan Shi, Hao Deng & Hong-Fei Lin. (1970). Notes on Refinable Functions. Journal of Computational Mathematics. 16 (4). 319-326. doi:
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