Geodesic
Computational algorithms for continuous wavelet transforms and their errors
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 45 (2005) no. 12, pp. 2091-2101 Cet article a éte moissonné depuis la source Math-Net.Ru

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The best possible error bounds for calculated continuous wavelet transforms are obtained. Algorithms are constructed for which these bounds are attained. Numerical examples are presented that illustrate the results. 
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Ya. M. Zhileikin; J. I. Osipik. Computational algorithms for continuous wavelet transforms and their errors. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 45 (2005) no. 12, pp. 2091-2101. http://geodesic.mathdoc.fr/item/ZVMMF_2005_45_12_a0/

[1] Dyakonov V. P., Veivlety. Ot teorii k praktike, SOLON-R, M., 2002

[2] Malla S., Veivlety v obrabotke signalov, Mir, M., 2005

[3] Bakhvalov N. S., Zhidkov N. P., Kobelkov G. M., Chislennye metody, Nauka, M., 1987 | MR | Zbl

[4] Zhileikin Ya. M., “O pogreshnosti priblizhennogo vychisleniya integralov ot bystroostsilliruyuschikh funktsii”, Zh. vychisl. matem. i matem. fiz., 11:1 (1971), 263–266

[5] Zhileikin Ya. M., Kukarkin A. V., Priblizhennoe vychislenie integralov ot bystroostsilliruyuschikh funktsii, Izd-vo MGU, M., 1987

[6] Vasileva L. G., Zhileikin Ya. M., “O bystrom vychislenii uzlov i vesov kvadraturnoi formuly Gaussa”, Zh. vychisl. matem. i matem. fiz., 44:3 (2004), 425–430 | MR