Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 23 (1983) no. 3, pp. 545-557
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L. A. Onegov. A best quadrature formula and its application to calculation of singular integrals with a Cauchy kernel. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 23 (1983) no. 3, pp. 545-557. http://geodesic.mathdoc.fr/item/ZVMMF_1983_23_3_a3/
@article{ZVMMF_1983_23_3_a3,
author = {L. A. Onegov},
title = {A best quadrature formula and its application to calculation of singular integrals with a {Cauchy} kernel},
journal = {\v{Z}urnal vy\v{c}islitelʹnoj matematiki i matemati\v{c}eskoj fiziki},
pages = {545--557},
year = {1983},
volume = {23},
number = {3},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/ZVMMF_1983_23_3_a3/}
}
TY - JOUR
AU - L. A. Onegov
TI - A best quadrature formula and its application to calculation of singular integrals with a Cauchy kernel
JO - Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki
PY - 1983
SP - 545
EP - 557
VL - 23
IS - 3
UR - http://geodesic.mathdoc.fr/item/ZVMMF_1983_23_3_a3/
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ID - ZVMMF_1983_23_3_a3
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%0 Journal Article
%A L. A. Onegov
%T A best quadrature formula and its application to calculation of singular integrals with a Cauchy kernel
%J Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki
%D 1983
%P 545-557
%V 23
%N 3
%U http://geodesic.mathdoc.fr/item/ZVMMF_1983_23_3_a3/
%G ru
%F ZVMMF_1983_23_3_a3
A best quadrature formula in the class of functions $W_0^2(M;0,1)$ is obtained by Nikol'skii's scheme for a class of integrals with fixed singularity. The result is used for the approximate evaluation of singular integrals with a Cauchy kernel.
