Approximation properties of wavelets and relations among scaling moments II
- 41 Downloads
A new orthonormality condition for scaling functions is derived. This condition shows a close connection between orthonormality and relations among discrete scaling moments. This new condition in connection with certain approximation properties of scaling functions enables to prove new relations among discrete scaling moments and consequently the same relations for continuous scaling moments.
KeywordsOrthonormality wavelets approximation properties scaling moments
MSC (2000)65T60 42C40
Unable to display preview. Download preview PDF.
- A. Cohen: “Wavelet methods in numerical analysis. Ciarlet”, P.G.(ed.) et al., Handbook of numerical analysis, Vol. 7 (Part 3); Techniques of scientific computing (Part 3), Elsevier, (2000), pp. 417–711.Google Scholar
- V. Finěk: “Approximation properties of wavelets and relations among scaling moments”, Numerical Functional Analysis and Optimization, (2002), [to appear]Google Scholar
- A.K. Louis, P. Maass, A. Rieder: Wavelets — Theory and Applications, Wiley, Chichester, 1997.Google Scholar
- G. Strang, T. Nguyen: “Wavelets and Filter Banks — Gilbert Strang”, Wellesley-Cambridge Press, Vol. XXI, (1996), pp. 474.Google Scholar