On weighted integrability of the sum of series with monotone coefficients with respect to multiplicative systems

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dc.contributor.authorTurgumbaev, M.Zh.
dc.contributor.authorSuleimenova, Z.R.
dc.contributor.authorTungushbaeva, D.I.
dc.date.accessioned2024-01-10T04:16:16Z
dc.date.available2024-01-10T04:16:16Z
dc.date.issued2023
dc.description.abstractIn this paper, we consider the questions about the weighted integrability of the sum of series with respect to multiplicative systems with monotone coefficients. Conditions are obtained for weight functions that ensure that the sum of such series belongs to the weighted Lebesgue space. The main theorems are proved without the condition that the generator sequence is bounded; in particular, it can be unbounded. In the case of boundedness of the generator sequence, the proved theorems imply an analogue of the well-known Hardy-Littlewood theorem on trigonometric series with monotone coefficientsru_RU
dc.identifier.citationTurgumbaev M.Zh.On weighted integrability of the sum of series with monotone coefficients with respect to multiplicative systems/M.Zh. Turgumbaev, Z.R. Suleimenova, D.I. Tungushbaeva//Bulletin of the Karaganda University. Mathematics series. – 2023-№ 2(110). – pp.160-168.ru_RU
dc.identifier.urihttps://rep.buketov.edu.kz//handle/data/17447
dc.language.isoenru_RU
dc.publisherBulletin of the Karaganda University. Mathematics seriesru_RU
dc.relation.ispartofseriesBulletin of the Karaganda University. Mathematics series;№2(110)
dc.subjectmultiplicative systems,ru_RU
dc.subjectdecompositionru_RU
dc.subjectweighted integrabilityru_RU
dc.subjectsum of seriesru_RU
dc.subjectgenerator sequenceru_RU
dc.subjectmonotone coefficientsru_RU
dc.subjectHardy-Littlewood theoremru_RU
dc.subjectLebesgue spaceru_RU
dc.titleOn weighted integrability of the sum of series with monotone coefficients with respect to multiplicative systemsru_RU
dc.typeArticleru_RU

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