Geodesic
The imbedding and equality of certain classes of functions
Izvestiya. Mathematics , Tome 3 (1969) no. 4, pp. 795-813.

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

This paper is concerned with the interrelation of certain conditions expressed in terms of best approximations, moduli of smoothness, $k$th differences of the functions in question, or the inclusion in $L_p$ of the transformed Fourier series. 
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M. K. Potapov. The imbedding and equality of certain classes of functions. Izvestiya. Mathematics , Tome 3 (1969) no. 4, pp. 795-813. http://geodesic.mathdoc.fr/item/IM2_1969_3_4_a5/

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