Linear method for the approximation of differentiable functions
Matematičeskie zametki, Tome 7 (1970) no. 4, pp. 423-430.

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This article is devoted to the problem of the approximation of functions in the metric of space $L_p(0, 1)$, the $s$-th derivative of the functions being continuous and the $(s+1)$-th derivative belonging to the space $L_q(0, 1)$, with $p,q\geqslant1$, by spline functions of order $s$ with fixed “almost” uniform nodes.
@article{MZM_1970_7_4_a6,
     author = {Yu. N. Subbotin},
     title = {Linear method for the approximation of differentiable functions},
     journal = {Matemati\v{c}eskie zametki},
     pages = {423--430},
     publisher = {mathdoc},
     volume = {7},
     number = {4},
     year = {1970},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_1970_7_4_a6/}
}
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Yu. N. Subbotin. Linear method for the approximation of differentiable functions. Matematičeskie zametki, Tome 7 (1970) no. 4, pp. 423-430. http://geodesic.mathdoc.fr/item/MZM_1970_7_4_a6/