DOAJ Open Access 2023

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

Abstrak

In 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 coefficients.

Topik & Kata Kunci

Analysis Analytic mechanics Probabilities. Mathematical statistics

Penulis (3)

M.Zh. Turgumbaev

Z.R. Suleimenova

D.I. Tungushbaeva

Format Sitasi

APA MLA BibTeX

Turgumbaev, M., Suleimenova, Z., Tungushbaeva, D. (2023). On weighted integrability of the sum of series with monotone coefficients with respect to multiplicative systems. https://doi.org/10.31489/2023m2/160-168

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Informasi Jurnal

Tahun Terbit: 2023
Sumber Database: DOAJ
DOI: 10.31489/2023m2/160-168
Akses: Open Access ✓