Matematičeskie zametki, Tome 5 (1969) no. 3, pp. 317-322
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V. I. Polovinkin. Some estimates of norms of functionals of cubature formula errors. Matematičeskie zametki, Tome 5 (1969) no. 3, pp. 317-322. http://geodesic.mathdoc.fr/item/MZM_1969_5_3_a4/
@article{MZM_1969_5_3_a4,
author = {V. I. Polovinkin},
title = {Some estimates of norms of functionals of cubature formula errors},
journal = {Matemati\v{c}eskie zametki},
pages = {317--322},
year = {1969},
volume = {5},
number = {3},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/MZM_1969_5_3_a4/}
}
TY - JOUR
AU - V. I. Polovinkin
TI - Some estimates of norms of functionals of cubature formula errors
JO - Matematičeskie zametki
PY - 1969
SP - 317
EP - 322
VL - 5
IS - 3
UR - http://geodesic.mathdoc.fr/item/MZM_1969_5_3_a4/
LA - ru
ID - MZM_1969_5_3_a4
ER -
%0 Journal Article
%A V. I. Polovinkin
%T Some estimates of norms of functionals of cubature formula errors
%J Matematičeskie zametki
%D 1969
%P 317-322
%V 5
%N 3
%U http://geodesic.mathdoc.fr/item/MZM_1969_5_3_a4/
%G ru
%F MZM_1969_5_3_a4
It is shown that sequences of cubature formulas with a regular boundary layer are asymptotically optimal in the classes of functions $\mathring L_2^{(m)}(\Omega)$.
