Geodesic
Spline approximation and optimal recovery of operators
Sbornik. Mathematics, Tome 80 (1995) no. 2, pp. 393-409 Cet article a éte moissonné depuis la source Math-Net.Ru

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The problem of optimal recovery, on the basis of exact or erroneous information, of symmetry-preserving operators on sets of elements of convolution type is solved. Using the information operator and a generating kernel, an approximation apparatus is constructed, called information-kernel splines. In particular cases, it coincides with sets of polynomial splines in one or several variables. Interpolation and smoothing are solvable for it. 
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A. A. Zhensykbaev. Spline approximation and optimal recovery of operators. Sbornik. Mathematics, Tome 80 (1995) no. 2, pp. 393-409. http://geodesic.mathdoc.fr/item/SM_1995_80_2_a6/

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