Sibirskij žurnal vyčislitelʹnoj matematiki, Tome 10 (2007) no. 1, pp. 29-42
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N. K. Bakirov. Optimal error of numerical integration with regard to function values at integration points. Sibirskij žurnal vyčislitelʹnoj matematiki, Tome 10 (2007) no. 1, pp. 29-42. http://geodesic.mathdoc.fr/item/SJVM_2007_10_1_a1/
@article{SJVM_2007_10_1_a1,
author = {N. K. Bakirov},
title = {Optimal error of numerical integration with regard to function values at integration points},
journal = {Sibirskij \v{z}urnal vy\v{c}islitelʹnoj matematiki},
pages = {29--42},
year = {2007},
volume = {10},
number = {1},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/SJVM_2007_10_1_a1/}
}
TY - JOUR
AU - N. K. Bakirov
TI - Optimal error of numerical integration with regard to function values at integration points
JO - Sibirskij žurnal vyčislitelʹnoj matematiki
PY - 2007
SP - 29
EP - 42
VL - 10
IS - 1
UR - http://geodesic.mathdoc.fr/item/SJVM_2007_10_1_a1/
LA - ru
ID - SJVM_2007_10_1_a1
ER -
%0 Journal Article
%A N. K. Bakirov
%T Optimal error of numerical integration with regard to function values at integration points
%J Sibirskij žurnal vyčislitelʹnoj matematiki
%D 2007
%P 29-42
%V 10
%N 1
%U http://geodesic.mathdoc.fr/item/SJVM_2007_10_1_a1/
%G ru
%F SJVM_2007_10_1_a1
In the paper, we consider a corrected definition for the numerical integration error norm with regard to function values at integration points. Optimal and suboptimal integration formulas are obtained for different functional spaces.
