Geodesic
Approximating one class of finitely differentiable functions by another
Izvestiya. Mathematics , Tome 61 (1997) no. 2, pp. 347-362

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

Necessary and sufficient conditions are found for approximating (with preassigned accuracy in an integral metric) a class of functions with a given majorant for the moduli of continuity of the highest derivatives by another class. 
@article{IM2_1997_61_2_a5,
     author = {S. N. Kudryavtsev},
     title = {Approximating one class of finitely differentiable functions by another},
     journal = {Izvestiya. Mathematics },
     pages = {347--362},
     publisher = {mathdoc},
     volume = {61},
     number = {2},
     year = {1997},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/IM2_1997_61_2_a5/}
}
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S. N. Kudryavtsev. Approximating one class of finitely differentiable functions by another. Izvestiya. Mathematics , Tome 61 (1997) no. 2, pp. 347-362. http://geodesic.mathdoc.fr/item/IM2_1997_61_2_a5/