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.

Subject Categories:

  • Numerical Mathematics
  • Theoretical Mathematics

Distribution Statement:

APPROVED FOR PUBLIC RELEASE