Geodesic
Exact bounds for the uniform approximation of continuous periodic functions by $r$-th order splines
Matematičeskie zametki, Tome 13 (1973) no. 2, pp. 217-228.

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We solve the problem of determining exact bounds for the uniform approximation of continuous periodic functions by $r$-th order interpolation splines in a space $C$ and on a class $H_\omega$ specified by the convex modulus of continuity $\omega(t)$. 
@article{MZM_1973_13_2_a5,
     author = {A. A. Zhensykbaev},
     title = {Exact bounds for the uniform approximation of continuous periodic functions by $r$-th order splines},
     journal = {Matemati\v{c}eskie zametki},
     pages = {217--228},
     publisher = {mathdoc},
     volume = {13},
     number = {2},
     year = {1973},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_1973_13_2_a5/}
}
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A. A. Zhensykbaev. Exact bounds for the uniform approximation of continuous periodic functions by $r$-th order splines. Matematičeskie zametki, Tome 13 (1973) no. 2, pp. 217-228. http://geodesic.mathdoc.fr/item/MZM_1973_13_2_a5/