Geodesic
On the complexity of the approximate table representation of discrete analogs of functions of finite smoothness in the metric of $L^p$
Matematičeskie zametki, Tome 64 (1998) no. 5, pp. 643-647

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For discrete analogs of classes of functions of finite smoothness, we study the quantity $\log\operatorname{Approx}$ characterizing the minimal necessary length of tables that allow us to reconstruct functions from these classes with error not exceeding 1 in the metric of the space $L^p$. 
@article{MZM_1998_64_5_a0,
     author = {G. G. Amanzhaev},
     title = {On the complexity of the approximate table representation of discrete analogs of functions of finite smoothness in the metric of $L^p$},
     journal = {Matemati\v{c}eskie zametki},
     pages = {643--647},
     publisher = {mathdoc},
     volume = {64},
     number = {5},
     year = {1998},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_1998_64_5_a0/}
}
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G. G. Amanzhaev. On the complexity of the approximate table representation of discrete analogs of functions of finite smoothness in the metric of $L^p$. Matematičeskie zametki, Tome 64 (1998) no. 5, pp. 643-647. http://geodesic.mathdoc.fr/item/MZM_1998_64_5_a0/