Geodesic
On Jackson's theorem in the space $\ell_2(\mathbb Z_2^n)$
Matematičeskie zametki, Tome 60 (1996) no. 3, pp. 390-405.

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Estimates of Jackson's constants in the space v are given for the case of approximation by sums of subspaces on which irreducible representations of the isometry group of $\mathbb Z_2^n$ act and for the case in which the modulus of continuity is defined using generalized translations. Coding theory results on efficiency estimates for binary $d$-codes with respect to the Hamming distance are used. 
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V. I. Ivanov; O. I. Smirnov. On Jackson's theorem in the space  $\ell_2(\mathbb Z_2^n)$. Matematičeskie zametki, Tome 60 (1996) no. 3, pp. 390-405. http://geodesic.mathdoc.fr/item/MZM_1996_60_3_a6/

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