Fundamentalʹnaâ i prikladnaâ matematika, Tome 6 (2000) no. 1, pp. 43-49
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N. A. Bokaev; N. K. Syzdykova. On integrability and $L_1$-convergence of double series with respect to multiplicative systems. Fundamentalʹnaâ i prikladnaâ matematika, Tome 6 (2000) no. 1, pp. 43-49. http://geodesic.mathdoc.fr/item/FPM_2000_6_1_a3/
@article{FPM_2000_6_1_a3,
author = {N. A. Bokaev and N. K. Syzdykova},
title = {On integrability and $L_1$-convergence of double series with respect to multiplicative systems},
journal = {Fundamentalʹna\^a i prikladna\^a matematika},
pages = {43--49},
year = {2000},
volume = {6},
number = {1},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/FPM_2000_6_1_a3/}
}
TY - JOUR
AU - N. A. Bokaev
AU - N. K. Syzdykova
TI - On integrability and $L_1$-convergence of double series with respect to multiplicative systems
JO - Fundamentalʹnaâ i prikladnaâ matematika
PY - 2000
SP - 43
EP - 49
VL - 6
IS - 1
UR - http://geodesic.mathdoc.fr/item/FPM_2000_6_1_a3/
LA - ru
ID - FPM_2000_6_1_a3
ER -
%0 Journal Article
%A N. A. Bokaev
%A N. K. Syzdykova
%T On integrability and $L_1$-convergence of double series with respect to multiplicative systems
%J Fundamentalʹnaâ i prikladnaâ matematika
%D 2000
%P 43-49
%V 6
%N 1
%U http://geodesic.mathdoc.fr/item/FPM_2000_6_1_a3/
%G ru
%F FPM_2000_6_1_a3
We consider double series, whose coefficients are the null sequences of bounded variation, with respect to multiplicative systems. We define a necessary and sufficient condition for regular convergence in $L(Q)$-metric of modified sums and integrability of the sum of series considered.
