Abstract
We investigate the problem of the smoothing of experimental data by cell-like L-spline functions of many variables from the point of view of the theory of such functions proposed by the author. Given values of a function and its derivatives up to some order are smoothed on a rectangular network of nodes. Existence and uniqueness of the solution are proved and equations are derived.
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Translated from Matematicheskie Zametki, Vol. 15, No. 3, pp. 371–379, March, 1974.
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Zav'yalov, Y.S. Smoothing by L-spline functions of many variables. Mathematical Notes of the Academy of Sciences of the USSR 15, 212–217 (1974). https://doi.org/10.1007/BF01438372
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DOI: https://doi.org/10.1007/BF01438372