For citation:
Теляковский С. А. On Properties of the Moduli of Blocks of the Terms of the Series 1/k sin kx. Izvestiya of Saratov University. Mathematics. Mechanics. Informatics, 2013, vol. 13, iss. 1, pp. 92-95. DOI: 10.18500/1816-9791-2013-13-1-2-92-95, EDN: SMXXWB
This is an open access article distributed under the terms of Creative Commons Attribution 4.0 International License (CC-BY 4.0).
Published online:
27.02.2013
Full text:
(downloads: 193)
Language:
Russian
Heading:
UDC:
517.518.4
EDN:
SMXXWB
On Properties of the Moduli of Blocks of the Terms of the Series 1/k sin kx
Autors:
Теляковский Сергей Александрович, Steklov Mathematical Institute of Russian Academy of Sciences
Abstract:
Получено необходимое и достаточное условие интегрируемости со степенным весом суммы модулей блоков исследуемого ряда.
Key words:
References:
- Теляковский С. А. О свойствах блоков членов ряда P 1 k sin kx // Украинский мат. журн. 2012. Т. 64, № 5. С. 713–718. [Telyakovskii S. A. On properties of blocks of the series P 1 k sin kx // Ukrainian Math. J. 2012. Vol. 64. P. 713–718.]
- Trigub R. M. A note on the paper of Telyakovskii «Certain properties of Fourier series of functions with bounded variation» // East J. on Approx. 2007. Vol. 13, № 1. P. 1–6.
Received:
16.08.2012
Accepted:
21.01.2013
Published:
27.02.2013
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