Geodesic
Number-theoretic algorithms of interpolation
Čebyševskij sbornik, Tome 13 (2012) no. 2, pp. 117-123 
A. V. Oderov. Number-theoretic algorithms of interpolation. Čebyševskij sbornik, Tome 13 (2012) no. 2, pp. 117-123. http://geodesic.mathdoc.fr/item/CHEB_2012_13_2_a14/
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Voir la notice de l'article provenant de la source Math-Net.Ru

In calculus mathematics an essential role interpolation of functions, i.e. construction on the given function plays another (as a rule, more simple) which values coincide with values of the given function in some number of points. Interpolation has both practical, and theoretical value. In practice often there is a task about restitution of a continuous function on its tabular values for example received during some experiment.

[1] Dobrovolskii N. M., Manokhin E. V., “Banakhovy prostranstva periodicheskikh funktsii”, Izvestiya Tulskogo gosudarstvennogo universiteta. Seriya Matematika. Mekhanika. Informatika, 4:3 (1998), 56–67 | MR

[2] Dobrovolskii N. M., Esayan A. R., Andreeva O. V., Zaitseva N. V., “Mnogomernaya teoretiko-chislovaya fure interpolyatsiya”, Chebyshevskii sbornik, 5:1 (2004), 122–143 | MR

[3] Korobov N. M., Teoretiko-chislovye metody v priblizhennom analize, vtoroe izdanie, MTsNMO, M., 2004 | MR