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

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. 
@article{TRSPY_2010_269_a16,
     author = {M. K. Potapov and B. V. Simonov and S. Yu. Tikhonov},
     title = {Relations between mixed moduli of smoothness, and embedding theorems for {Nikol'skii} classes},
     journal = {Informatics and Automation},
     pages = {204--214},
     publisher = {mathdoc},
     volume = {269},
     year = {2010},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TRSPY_2010_269_a16/}
}
TY  - JOUR
AU  - M. K. Potapov
AU  - B. V. Simonov
AU  - S. Yu. Tikhonov
TI  - Relations between mixed moduli of smoothness, and embedding theorems for Nikol'skii classes
JO  - Informatics and Automation
PY  - 2010
SP  - 204
EP  - 214
VL  - 269
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/TRSPY_2010_269_a16/
LA  - ru
ID  - TRSPY_2010_269_a16
ER  - 
%0 Journal Article
%A M. K. Potapov
%A B. V. Simonov
%A S. Yu. Tikhonov
%T Relations between mixed moduli of smoothness, and embedding theorems for Nikol'skii classes
%J Informatics and Automation
%D 2010
%P 204-214
%V 269
%I mathdoc
%U http://geodesic.mathdoc.fr/item/TRSPY_2010_269_a16/
%G ru
%F TRSPY_2010_269_a16
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/