Geodesic
Best approximation of a~differentiation operator in $L_2$-space
Matematičeskie zametki, Tome 3 (1968) no. 2, pp. 157-164.

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This paper contains the magnitude of the best approximation in the $L_2$-sense of a $k$-th order differentiation operator of a bounded linear operator $A(f)$ which acts on the class of functions which are differentiable $n$ times. 
@article{MZM_1968_3_2_a4,
     author = {Yu. N. Subbotin and L. V. Taikov},
     title = {Best approximation of a~differentiation operator in $L_2$-space},
     journal = {Matemati\v{c}eskie zametki},
     pages = {157--164},
     publisher = {mathdoc},
     volume = {3},
     number = {2},
     year = {1968},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_1968_3_2_a4/}
}
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Yu. N. Subbotin; L. V. Taikov. Best approximation of a~differentiation operator in $L_2$-space. Matematičeskie zametki, Tome 3 (1968) no. 2, pp. 157-164. http://geodesic.mathdoc.fr/item/MZM_1968_3_2_a4/