FUNDAMENTALNAYA
I PRIKLADNAYA MATEMATIKA

(FUNDAMENTAL AND APPLIED MATHEMATICS)

2000, VOLUME 6, NUMBER 1, PAGES 43-49

**On integrability and
$L$**_{1}-convergence of double series
with respect to multiplicative systems

N. A. Bokaev

N. K. Sizdikova

Abstract

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```
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.
```

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Last modified: April 11, 2000