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Matematicheskie Zametki, 2020, Volume 107, Issue 6, paper published in the English version journal (Mi mzm12405)  
Papers published in the English version of the journal

On the Generalized Cesáro Summability of Trigonometric Fourier Series

T. I. Akhobadze, Sh. V. Zviadadze

Faculty of Exact and Natural Sciences, Javakhishvili Tbilisi State University, Tbilisi, 0143 Georgia
Abstract: The class of generalized bounded variation is considered. For functions from this class, the deviation of the generalized Cesáro means of negative order in the norm of $L^r$, ($1\leq r\leq \infty$) is estimated.
Keywords: bounded variation, trigonometric Fourier series, generalized Cesáro summability.
Funding agency Grant number
Shota Rustaveli National Science Foundation FR-18-1599
This work was supported by Shota Rustaveli National Science Foundation of Georgia (SRNSFG) under grant no. FR-18-1599.
Received: 08.04.2019
Revised: 15.12.2019
English version:
Mathematical Notes, 2020, Volume 107, Issue 6, Pages 898–906
DOI: https://doi.org/10.1134/S000143462005020X
Bibliographic databases:
Document Type: Article
Language: English
Citation: T. I. Akhobadze, Sh. V. Zviadadze, “On the Generalized Cesáro Summability of Trigonometric Fourier Series”, Math. Notes, 107:6 (2020), 898–906
Citation in format AMSBIB
\Bibitem{AkhZvi20}
\by T.~I.~Akhobadze, Sh.~V.~Zviadadze
\paper On the Generalized Ces\'{a}ro Summability
of Trigonometric Fourier Series
\jour Math. Notes
\yr 2020
\vol 107
\issue 6
\pages 898--906
\mathnet{http://mi.mathnet.ru/mzm12405}
\crossref{https://doi.org/10.1134/S000143462005020X}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=4150996}
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\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85087064465}
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