Geodesic
Approximation of a~partial differential operator by bounded operators on a~class of functions of finite smoothness
Sbornik. Mathematics, Tome 187 (1996) no. 3, pp. 385-402

Voir la notice de l'article provenant de la source Math-Net.Ru

We established the weak asymptotic decrease of the corresponding value in the problem of best approximation in the class of functions for which the moduli of continuity of the leading derivatives of a partial differential operator are majorized by prescribed bounded operators from one space with an integral norm to another. 
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     author = {S. N. Kudryavtsev},
     title = {Approximation of a~partial differential operator by bounded operators on a~class of functions of finite smoothness},
     journal = {Sbornik. Mathematics},
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S. N. Kudryavtsev. Approximation of a~partial differential operator by bounded operators on a~class of functions of finite smoothness. Sbornik. Mathematics, Tome 187 (1996) no. 3, pp. 385-402. http://geodesic.mathdoc.fr/item/SM_1996_187_3_a3/