Geodesic
Stability of spline approximation and the restoration of grid functions
Matematičeskie zametki, Tome 16 (1974) no. 4, pp. 537-544

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For a function $f(x)\in H_\omega$, defined on a uniform grid approximately, we propose a stable method for approximately restoring the function with the aid of polynomial splines. We derive uniform estimates for the deviations of the spline and its derivatives from the function and its derivatives. 
@article{MZM_1974_16_4_a4,
     author = {I. A. Pakhnutov},
     title = {Stability of spline approximation and the restoration of grid functions},
     journal = {Matemati\v{c}eskie zametki},
     pages = {537--544},
     publisher = {mathdoc},
     volume = {16},
     number = {4},
     year = {1974},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_1974_16_4_a4/}
}
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I. A. Pakhnutov. Stability of spline approximation and the restoration of grid functions. Matematičeskie zametki, Tome 16 (1974) no. 4, pp. 537-544. http://geodesic.mathdoc.fr/item/MZM_1974_16_4_a4/