Accession Number:
ADP013748
Title:
An Example Concerning the L (sub p)-Stability of Piecewise Linear B-Wavelets
Descriptive Note:
Conference paper
Corporate Author:
TARTU UNIV (ESTONIA) DEPT OF MATHEMATICS
Personal Author(s):
Report Date:
2001-07-01
Pagination or Media Count:
8.0
Abstract:
In this paper we consider B-wavelets of order 2, i.e. piecewise linear spline prewavelets of smallest support, over nonuniform knot sequences. We discuss an example showing that for 1 is less than p is less than or equal to infinity, there is no absolute Lsub p-stability for these B-wavelets. This means that regardless what specific scaling of the B-wavelets is chosen, the corresponding stability constants cannot be made independent of the knot sequences involved.
Descriptors:
Subject Categories:
- Numerical Mathematics
- Theoretical Mathematics