Matematičeskie zametki, Tome 12 (1972) no. 6, pp. 655-664
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N. S. Bakhvalov. A lower bound for the asymptotic characteristics of classes of functions with dominating mixed derivative. Matematičeskie zametki, Tome 12 (1972) no. 6, pp. 655-664. http://geodesic.mathdoc.fr/item/MZM_1972_12_6_a1/
@article{MZM_1972_12_6_a1,
author = {N. S. Bakhvalov},
title = {A lower bound for the asymptotic characteristics of classes of functions with dominating mixed derivative},
journal = {Matemati\v{c}eskie zametki},
pages = {655--664},
year = {1972},
volume = {12},
number = {6},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/MZM_1972_12_6_a1/}
}
TY - JOUR
AU - N. S. Bakhvalov
TI - A lower bound for the asymptotic characteristics of classes of functions with dominating mixed derivative
JO - Matematičeskie zametki
PY - 1972
SP - 655
EP - 664
VL - 12
IS - 6
UR - http://geodesic.mathdoc.fr/item/MZM_1972_12_6_a1/
LA - ru
ID - MZM_1972_12_6_a1
ER -
%0 Journal Article
%A N. S. Bakhvalov
%T A lower bound for the asymptotic characteristics of classes of functions with dominating mixed derivative
%J Matematičeskie zametki
%D 1972
%P 655-664
%V 12
%N 6
%U http://geodesic.mathdoc.fr/item/MZM_1972_12_6_a1/
%G ru
%F MZM_1972_12_6_a1
We obtain a new representation for classes of functions with dominating mixed derivative; using this representation we can obtain new lower bounds for the $\varepsilon$-entropy and for the errors in integration and interpolation for such classes.