Geodesic
On the dynamical algorithm of finding derivative function according to piece-constant approximate information about it
Izvestiya Instituta Matematiki i Informatiki Udmurtskogo Gosudarstvennogo Universiteta, no. 2 (2006), pp. 31-34 
A. Yu. Vdovin; S. S. Rubleva. On the dynamical algorithm of finding derivative function according to piece-constant approximate information about it. Izvestiya Instituta Matematiki i Informatiki Udmurtskogo Gosudarstvennogo Universiteta, no. 2 (2006), pp. 31-34. http://geodesic.mathdoc.fr/item/IIMI_2006_2_a6/
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     title = {On the dynamical algorithm of finding derivative function according to piece-constant approximate information about it},
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Voir la notice de l'article provenant de la source Math-Net.Ru

The stable algorithm of numerical differentiation approximately assigned function not used difference quotient is proposed.

[1] Tikhonov A. N., Goncharskii A. V., Stepanov V. V., Yagola A. G., Regulyariziruyuschie algoritmy i apriornaya informatsiya, Nauka, M., 1983, 198 pp. | MR

[2] Kryazhimskii A. V., Osipov Yu. S., “O modelirovanii upravleniya v dinamicheskoi sisteme”, Izv. AN SSSR. Tekhn. kibernetika, 1983, no. 20, 51–60 | MR

[3] Krasovskii N. N., Upravlenie dinamicheskoi sistemoi. Zadacha o minimume garantirovannogo rezultata, Nauka, M., 1985, 518 pp. | MR