Geodesic
The approximation of periodic differentiable functions by splines with respect to a uniform partition
Matematičeskie zametki, Tome 13 (1973) no. 6, pp. 807-816 Cet article a éte moissonné depuis la source Math-Net.Ru

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We solve the problem of determining exact estimates for the approximation by $r$-th order splines of the class $W^{r+1}$ in the metrics $C$ and $L_p$ ($1\le p<\infty$). 
@article{MZM_1973_13_6_a2,
     author = {A. A. Zhensykbaev},
     title = {The approximation of periodic differentiable functions by splines with respect to a~uniform partition},
     journal = {Matemati\v{c}eskie zametki},
     pages = {807--816},
     year = {1973},
     volume = {13},
     number = {6},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_1973_13_6_a2/}
}
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A. A. Zhensykbaev. The approximation of periodic differentiable functions by splines with respect to a uniform partition. Matematičeskie zametki, Tome 13 (1973) no. 6, pp. 807-816. http://geodesic.mathdoc.fr/item/MZM_1973_13_6_a2/