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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