Matematičeskie zametki, Tome 17 (1975) no. 1, pp. 67-69
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M. D. Ramazanov. An optimal lattice cubature formula in Banach spaces of periodic functions. Matematičeskie zametki, Tome 17 (1975) no. 1, pp. 67-69. http://geodesic.mathdoc.fr/item/MZM_1975_17_1_a7/
@article{MZM_1975_17_1_a7,
author = {M. D. Ramazanov},
title = {An optimal lattice cubature formula in {Banach} spaces of periodic functions},
journal = {Matemati\v{c}eskie zametki},
pages = {67--69},
year = {1975},
volume = {17},
number = {1},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/MZM_1975_17_1_a7/}
}
TY - JOUR
AU - M. D. Ramazanov
TI - An optimal lattice cubature formula in Banach spaces of periodic functions
JO - Matematičeskie zametki
PY - 1975
SP - 67
EP - 69
VL - 17
IS - 1
UR - http://geodesic.mathdoc.fr/item/MZM_1975_17_1_a7/
LA - ru
ID - MZM_1975_17_1_a7
ER -
%0 Journal Article
%A M. D. Ramazanov
%T An optimal lattice cubature formula in Banach spaces of periodic functions
%J Matematičeskie zametki
%D 1975
%P 67-69
%V 17
%N 1
%U http://geodesic.mathdoc.fr/item/MZM_1975_17_1_a7/
%G ru
%F MZM_1975_17_1_a7
We establish the optimality of a formula of rectangles among cubature formulas on a given lattice taken in one of the equivalent normalizations on the Banach space of the periodic functions,which is compactly embedded in the space of continuous functions with a norm which is invariant with respect to translations of the arguments of the functions.
