Geodesic
Recovering a~function with its derivatives from function values at a~given number of points
Izvestiya. Mathematics , Tome 45 (1995) no. 3, pp. 505-528

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This paper describes the weak asymptotic behavior in the metric of a Sobolev space of the accuracy of optimal recovery of functions of finite smoothness from values at a given number of points. 
@article{IM2_1995_45_3_a3,
     author = {S. N. Kudryavtsev},
     title = {Recovering a~function with its derivatives from function values at a~given number of points},
     journal = {Izvestiya. Mathematics },
     pages = {505--528},
     publisher = {mathdoc},
     volume = {45},
     number = {3},
     year = {1995},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/IM2_1995_45_3_a3/}
}
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S. N. Kudryavtsev. Recovering a~function with its derivatives from function values at a~given number of points. Izvestiya. Mathematics , Tome 45 (1995) no. 3, pp. 505-528. http://geodesic.mathdoc.fr/item/IM2_1995_45_3_a3/