Title of article
Stability Implies Convergence of Cascade Algorithms in Sobolev Space1
Author/Authors
Di-Rong Chen، نويسنده , , Xiaobo Zheng، نويسنده ,
Issue Information
دوهفته نامه با شماره پیاپی سال 2002
Pages
12
From page
41
To page
52
Abstract
This article proves that the stability of the shifts of a refinable function vector
ensures the convergence of the corresponding cascade algorithm in Sobolev space
to which the refinable function vector belongs. An example of Hermite interpolants
is presented to illustrate the result
Keywords
Sobolev space , cascade algorithm , stability , Hermite interpolant
Journal title
Journal of Mathematical Analysis and Applications
Serial Year
2002
Journal title
Journal of Mathematical Analysis and Applications
Record number
933537
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