Geodesic
On the error made in recovering functions of a~certain class on parallelepiped-type grids
Matematičeskie zametki, Tome 15 (1974) no. 5, pp. 749-756

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We derive (according to the number of tabular nodes) an asymptotic upper bound to the recovery error made on a class of functions of several variables whose mixed derivative is periodic in each variable and satisfies a multiple Lipschitz condition. As the tabular nodes we consider the vertices of a parallelepiped-type grid constructed with optimal coefficients. 
@article{MZM_1974_15_5_a10,
     author = {Yu. N. Shakhov},
     title = {On the error made in recovering functions of a~certain class on parallelepiped-type grids},
     journal = {Matemati\v{c}eskie zametki},
     pages = {749--756},
     publisher = {mathdoc},
     volume = {15},
     number = {5},
     year = {1974},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_1974_15_5_a10/}
}
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Yu. N. Shakhov. On the error made in recovering functions of a~certain class on parallelepiped-type grids. Matematičeskie zametki, Tome 15 (1974) no. 5, pp. 749-756. http://geodesic.mathdoc.fr/item/MZM_1974_15_5_a10/