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- Title
Polynomial Wavelets with Compact Support.
- Authors
Denysiuk, V. P.; Rybachuk, L. V.
- Abstract
We construct polynomial wavelets with compact support based on differentiating the proposed one-parametric basic finite polynomial wavelet of class Cm (m=0,1,…) . We show that derivatives of this basic wavelet of the order k, 1≤k < 2 (m+1) in many cases are also wavelets, and the derivatives of the order 2(m+1) are nonreduced Haar functions. Some of the constructed wavelets are orthogonal bases, and in case of nonorthogonality they are Riesz bases.
- Subjects
POLYNOMIALS; WAVELETS (Mathematics); ORTHOGONAL functions; HAAR system (Mathematics); FINITE element method; MATHEMATICAL analysis
- Publication
Naukovi visti NTUU - KPI, 2011, Vol 2011, Issue 4, p36
- ISSN
1810-0546
- Publication type
Article