%0 Journal Article %A N. A. Il'yasov %T On the equivalence of some relations in different metrics between norms, best approximations, and moduli of smoothness of periodic functions and their derivatives %J Trudy Instituta matematiki i mehaniki %D 2018 %P 176-188 %V 24 %N 4 %U http://geodesic.mathdoc.fr/item/TIMM_2018_24_4_a13/ %G ru %F TIMM_2018_24_4_a13