Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 1 (1961) no. 1, pp. 64-77
Citer cet article
N. S. Bakhvalov. An estimate of the mean remainder term in quadrature formulae. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 1 (1961) no. 1, pp. 64-77. http://geodesic.mathdoc.fr/item/ZVMMF_1961_1_1_a2/
@article{ZVMMF_1961_1_1_a2,
author = {N. S. Bakhvalov},
title = {An estimate of the mean remainder term in quadrature formulae},
journal = {\v{Z}urnal vy\v{c}islitelʹnoj matematiki i matemati\v{c}eskoj fiziki},
pages = {64--77},
year = {1961},
volume = {1},
number = {1},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/ZVMMF_1961_1_1_a2/}
}
TY - JOUR
AU - N. S. Bakhvalov
TI - An estimate of the mean remainder term in quadrature formulae
JO - Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki
PY - 1961
SP - 64
EP - 77
VL - 1
IS - 1
UR - http://geodesic.mathdoc.fr/item/ZVMMF_1961_1_1_a2/
LA - ru
ID - ZVMMF_1961_1_1_a2
ER -
%0 Journal Article
%A N. S. Bakhvalov
%T An estimate of the mean remainder term in quadrature formulae
%J Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki
%D 1961
%P 64-77
%V 1
%N 1
%U http://geodesic.mathdoc.fr/item/ZVMMF_1961_1_1_a2/
%G ru
%F ZVMMF_1961_1_1_a2
The author finds the mathematical expectation of the error in numerical quadrature for a certain class of function (those whose first p derivatives are bounded and whose pth derivatives satisfy the Hцlder condition with index $\lambda$). Both one-dimensional and multi-dimensional integrals are considered.
