Geodesic
Relations between mixed moduli of smoothness, and embedding theorems for Nikol'skii classes
Informatics and Automation, Function theory and differential equations, Tome 269 (2010), pp. 204-214 
M. K. Potapov; B. V. Simonov; S. Yu. Tikhonov. Relations between mixed moduli of smoothness, and embedding theorems for Nikol'skii classes. Informatics and Automation, Function theory and differential equations, Tome 269 (2010), pp. 204-214. http://geodesic.mathdoc.fr/item/TRSPY_2010_269_a16/
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     title = {Relations between mixed moduli of smoothness, and embedding theorems for {Nikol'skii} classes},
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     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TRSPY_2010_269_a16/}
}
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Voir la notice de l'article provenant de la source Math-Net.Ru

We prove $(L_p,L_q)$ inequalities for mixed moduli of smoothness of positive orders. As corollaries, we obtain embedding theorems for the Nikol'skii classes.

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