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Matematicheskie Zametki, 2019, Volume 105, Issue 3, Pages 433–443
DOI: https://doi.org/10.4213/mzm12297 (Mi mzm12297) 		 
This article is cited in 13 scientific papers (total in 13 papers)

Multipliers of Absolute Convergence

V. Sh. Tsagareishvili, G. Tutberidze

Tbilisi Ivane Javakhishvili State University
Full-text PDF (495 kB) Citations (13)
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DOI: https://doi.org/10.4213/mzm12297
Abstract: The paper deals with sequences of positive numbers $(d_n)$ such that, multiplying the Fourier coefficients $(C_n(f))$ of functions from given function classes by these numbers, one obtains a convergent series of the form $\sum|C_n(f)|^pd_n$, ${1\le p<2}$. It is established that the resulting conditions cannot be strengthened in a certain sense. The results of the paper imply, in particular, some well-known results for trigonometric Fourier series.
Keywords: convergence, Fourier coefficients, sequence of numbers.
Funding agency Grant number
Shota Rustaveli National Science Foundation PHDF-18-476
This work was supported by the Shota Rustaveli National Science Foundation of Georgia under grant PHDF-18-476.
Received: 07.03.2017
Revised: 11.06.2018
English version:
Mathematical Notes, 2019, Volume 105, Issue 3, Pages 439–448
DOI: https://doi.org/10.1134/S0001434619030143
Bibliographic databases:
Document Type: Article
UDC: 517.521
Language: Russian
Citation: V. Sh. Tsagareishvili, G. Tutberidze, “Multipliers of Absolute Convergence”, Mat. Zametki, 105:3 (2019), 433–443; Math. Notes, 105:3 (2019), 439–448
Citation in format AMSBIB
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    • This publication is cited in the following 13 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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