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.
@article{bwmeta1.element.doi-10_2478_BF02475967, author = {V\'aclav Fin\v ek}, title = {Approximation properties of wavelets and relations among scaling moments II}, journal = {Open Mathematics}, volume = {2}, year = {2004}, pages = {605-613}, zbl = {1081.42027}, language = {en}, url = {http://dml.mathdoc.fr/item/bwmeta1.element.doi-10_2478_BF02475967} }
Václav Finěk. Approximation properties of wavelets and relations among scaling moments II. Open Mathematics, Tome 2 (2004) pp. 605-613. http://gdmltest.u-ga.fr/item/bwmeta1.element.doi-10_2478_BF02475967/
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