Z. A. Chanturiya, “Absolute convergence of Fourier series”, Mat. Zametki, 18:2 (1975), 185–192; Math. Notes, 18:2 (1975), 695

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Matematicheskie Zametki, 1975, Volume 18, Issue 2, Pages 185–192 (Mi mzm7641)

This article is cited in 8 scientific papers (total in 8 papers)

Absolute convergence of Fourier series

Z. A. Chanturiya

Tbilisi Ivane Javakhishvili State University, Ilia Vekua Institute of Applied Mathematics

Full-text PDF (558 kB) Citations (8)

Abstract: In this paper we generalize the Bernshtein-Szász and Zygmund-Szász theorems on the absolute convergence of Fourier series in the classes

$\operatorname{Lip}\alpha$ .

Received: 26.11.1974

English version:
Mathematical Notes, 1975, Volume 18, Issue 2, Pages 695–700
DOI: https://doi.org/10.1007/BF01818034

Bibliographic databases:

UDC: 517.51

Language: Russian

Citation: Z. A. Chanturiya, “Absolute convergence of Fourier series”, Mat. Zametki, 18:2 (1975), 185–192; Math. Notes, 18:2 (1975), 695–700

Citation in format AMSBIB

\Bibitem{Cha75}

\by Z.~A.~Chanturiya

\paper Absolute convergence of Fourier series

\jour Mat. Zametki

\yr 1975

\vol 18

\issue 2

\pages 185--192

\mathnet{http://mi.mathnet.ru/mzm7641}

\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=394010}

\zmath{https://zbmath.org/?q=an:0313.42010}

\transl

\jour Math. Notes

\yr 1975

\vol 18

\issue 2

\pages 695--700

\crossref{https://doi.org/10.1007/BF01818034}

Linking options:

https://www.mathnet.ru/eng/mzm7641

https://www.mathnet.ru/eng/mzm/v18/i2/p185

This publication is cited in the following 8 articles:

G. H. Esslamzadeh, M. Moazami Goodarzi, M. Hormozi, M. Lind, “The Modulus of p-Variation and Its Applications”, J Fourier Anal Appl, 28:1 (2022)
Vyacheslav V. Chistyakov, SpringerBriefs in Optimization, From Approximate Variation to Pointwise Selection Principles, 2021, 1
S. S. Volosivets, A. E. Vezhlev, “Vlozheniya prostranstv funktsii obobschennoi ogranichennoi variatsii v prostranstva funktsii s zadannoi mazhorantoi usrednennogo modulya nepreryvnosti”, Izv. Sarat. un-ta. Nov. ser. Ser.: Matematika. Mekhanika. Informatika, 17:3 (2017), 255–266
Chistyakov V.V., Chistyakova S.A., “The Joint Modulus of Variation of Metric Space Valued Functions and Pointwise Selection Principles”, Studia Math., 238:1 (2017), 37–57
V. V. Lebedev, “On the topological stability of continuous functions in certain spaces related to Fourier series”, Izv. Math., 74:2 (2010), 347–378
V. V. Chistyakov, “A Pointwise Selection Principle for Functions of a Single Variable with Values in a Uniform Space”, Siberian Adv. Math., 16:3 (2006), 15–41
Chistyakov, VV, “The optimal form of selection principles for functions of a real variable”, Journal of Mathematical Analysis and Applications, 310:2 (2005), 609
Z. A. Chanturiya, “On uniform convergence of Fourier series”, Math. USSR-Sb., 29:4 (1976), 475–495

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

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