Geodesic
Approximation by splines and smooth bases in $C(0, 2\pi)$
Matematičeskie zametki, Tome 12 (1972) no. 1, pp. 43-51 Cet article a éte moissonné depuis la source Math-Net.Ru

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An estimate of the deviation of the splines interpolating on a uniform net a function continuous on the whole axis by means of the $k^{\mathrm{th}}$ module of continuity. These results are applied for the construction of smooth bases in $C(0, 2\pi)$. 
@article{MZM_1972_12_1_a5,
     author = {Yu. N. Subbotin},
     title = {Approximation by splines and smooth bases in $C(0, 2\pi)$},
     journal = {Matemati\v{c}eskie zametki},
     pages = {43--51},
     year = {1972},
     volume = {12},
     number = {1},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_1972_12_1_a5/}
}
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Yu. N. Subbotin. Approximation by splines and smooth bases in $C(0, 2\pi)$. Matematičeskie zametki, Tome 12 (1972) no. 1, pp. 43-51. http://geodesic.mathdoc.fr/item/MZM_1972_12_1_a5/