S. A. Telyakovskii, “Some properties of Fourier series of functions with bounded variation. II”, Function theory, Trudy Inst. Mat. i Mekh. UrO RAN, 11, no. 2, 2005, 168–174; Proc. Steklov Inst. Math. (Suppl.), 2005no. , suppl. 2, S188

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Trudy Instituta Matematiki i Mekhaniki UrO RAN, 2005, Volume 11, Number 2, Pages 168–174 (Mi timm196)

This article is cited in 6 scientific papers (total in 6 papers)

Some properties of Fourier series of functions with bounded variation. II

S. A. Telyakovskii

Full-text PDF (237 kB) Citations (6)

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Abstract: We investigate ways to divide the Fourier series of a function of bounded variation into blocks such that the sum of the series consisting of the absolute values of the blocks is square integrable on the period.

Received: 29.06.2005

Bibliographic databases:

Document Type: Article

Language: Russian

Citation: S. A. Telyakovskii, “Some properties of Fourier series of functions with bounded variation. II”, Function theory, Trudy Inst. Mat. i Mekh. UrO RAN, 11, no. 2, 2005, 168–174; Proc. Steklov Inst. Math. (Suppl.), 2005no. , suppl. 2, S188–S195

Citation in format AMSBIB

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\by S.~A.~Telyakovskii

\paper Some properties of Fourier series of functions with bounded variation.~II

\inbook Function theory

\serial Trudy Inst. Mat. i Mekh. UrO RAN

\yr 2005

\vol 11

\issue 2

\pages 168--174

\mathnet{http://mi.mathnet.ru/timm196}

\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2200230}

\zmath{https://zbmath.org/?q=an:1145.42003}

\elib{https://elibrary.ru/item.asp?id=12040710}

\transl

\jour Proc. Steklov Inst. Math. (Suppl.)

\yr 2005

\issue , suppl. 2

\pages S188--S195

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https://www.mathnet.ru/eng/timm/v11/i2/p168

This publication is cited in the following 6 articles:

V. P. Zastavnyi, A. S. Levadnaya, “Power wight integrability for sums of moduli of blocks from trigonometric series”, Proc. Steklov Inst. Math. (Suppl.), 303, suppl. 1 (2018), S223–S230
S. A. Telyakovskii, “Addition to V. P. Zastavnyi's paper “Estimates for sums of moduli of blocks in trigonometric Fourier series””, Proc. Steklov Inst. Math. (Suppl.), 297, suppl. 1 (2017), 186–190
S. A. Telyakovskii, “Series formed by the moduli of blocks of terms of trigonometric series. A survey”, J. Math. Sci., 209:1 (2015), 152–158
A. S. Belov, “Some properties of the sum of the moduli of the terms of a grouped trigonometric series”, Sb. Math., 203:6 (2012), 798–825
Telyakovskii S.A., “On the Properties of Blocks of Terms of the Series”, Ukr. Math. J., 64:5 (2012), 816–822
V. P. Zastavnyi, “Estimates for sums of moduli of blocks from trigonometric Fourier series”, Proc. Steklov Inst. Math. (Suppl.), 273, suppl. 1 (2011), S190–S204

Citing articles in Google Scholar: Russian citations, English citations
Related articles in Google Scholar: Russian articles, English articles

Trudy Instituta Matematiki i Mekhaniki UrO RAN

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