Geodesic
On the best uniform approximation of differentiation operators
Matematičeskie zametki, Tome 5 (1969) no. 3, pp. 273-284.

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We study the existence and uniqueness of an extremal operator for the problem of S. B. Stechkin on the best approximation of differentiation operators by bounded operators. 
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     author = {V. V. Arestov},
     title = {On the best uniform approximation of differentiation operators},
     journal = {Matemati\v{c}eskie zametki},
     pages = {273--284},
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     number = {3},
     year = {1969},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_1969_5_3_a0/}
}
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V. V. Arestov. On the best uniform approximation of differentiation operators. Matematičeskie zametki, Tome 5 (1969) no. 3, pp. 273-284. http://geodesic.mathdoc.fr/item/MZM_1969_5_3_a0/