Geodesic
On functions with bounded $\mathbf n$th differences
Izvestiya. Mathematics , Tome 61 (1997) no. 2, pp. 331-346

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Modified Whitney constants for approximation by cubic polynomials are calculated exactly. New estimates are obtained of Whitney constants for approximating $C(I^N)$-functions by quasi-polynomials. 
@article{IM2_1997_61_2_a4,
     author = {Yu. V. Kryakin},
     title = {On functions with bounded $\mathbf n$th differences},
     journal = {Izvestiya. Mathematics },
     pages = {331--346},
     publisher = {mathdoc},
     volume = {61},
     number = {2},
     year = {1997},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/IM2_1997_61_2_a4/}
}
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Yu. V. Kryakin. On functions with bounded $\mathbf n$th differences. Izvestiya. Mathematics , Tome 61 (1997) no. 2, pp. 331-346. http://geodesic.mathdoc.fr/item/IM2_1997_61_2_a4/