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
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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.
@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},
publisher = {mathdoc},
volume = {23},
number = {3},
year = {1983},
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 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/ZVMMF_1983_23_3_a3/ LA - ru ID - ZVMMF_1983_23_3_a3 ER -
%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 %I mathdoc %U http://geodesic.mathdoc.fr/item/ZVMMF_1983_23_3_a3/ %G ru %F ZVMMF_1983_23_3_a3
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/