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JOURNALS
// Matematicheskie Zametki
// Archive
Mat. Zametki,
2020
Volume 107,
Issue 6,
Pages
868–876
(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.
Received:
08.04.2019
Revised:
15.12.2019
Language:
English
English version:
Mathematical Notes, 2020,
107
:6,
898–906
Bibliographic databases:
©
Steklov Math. Inst. of RAS
, 2024
