Geodesic
Some problems in approximation theory for a~class of functions of finite smoothness
Sbornik. Mathematics, Tome 75 (1993) no. 1, pp. 145-164

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This paper concerns the problem of best accuracy in recovering functions from their values at a specified number of points, the problem of best approximation of partial differential operators by bounded operators, and the problem of the accuracy of approximation of one class by another for a class of functions with partial derivatives of a fixed order having moduli of continuity not exceeding a given modulus of continuity. The weak asymptotic behavior is established for the corresponding quantities. 
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     author = {S. N. Kudryavtsev},
     title = {Some problems in approximation theory for a~class of functions of finite smoothness},
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S. N. Kudryavtsev. Some problems in approximation theory for a~class of functions of finite smoothness. Sbornik. Mathematics, Tome 75 (1993) no. 1, pp. 145-164. http://geodesic.mathdoc.fr/item/SM_1993_75_1_a8/