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Matematicheskie Zametki, 1969, Volume 5, Issue 2, Pages 195–204 (Mi mzm6824)  
This article is cited in 2 scientific papers (total in 2 papers)

The p-variation of functions

B. I. Golubov

Moscow Institute of Physics and Technology
Full-text PDF (666 kB) Citations (2)
Abstract: A formula is derived for the p-variation of functions of the class Vq (1⩽q<p<∞) and it is proved that this formula ceases to hold when 1<q=p<∞, in contrast to the case q=р=1.
Received: 20.03.1968
English version:
Mathematical Notes, 1969, Volume 5, Issue 2, Pages 119–124
DOI: https://doi.org/10.1007/BF01098310
Bibliographic databases:
UDC: 517.5
Language: Russian
Citation: B. I. Golubov, “The p-variation of functions”, Mat. Zametki, 5:2 (1969), 195–204; Math. Notes, 5:2 (1969), 119–124
Citation in format AMSBIB
\Bibitem{Gol69}
\by B.~I.~Golubov
\paper The $p$-variation of functions
\jour Mat. Zametki
\yr 1969
\vol 5
\issue 2
\pages 195--204
\mathnet{http://mi.mathnet.ru/mzm6824}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=240259}
\zmath{https://zbmath.org/?q=an:0184.09501}
\transl
\jour Math. Notes
\yr 1969
\vol 5
\issue 2
\pages 119--124
\crossref{https://doi.org/10.1007/BF01098310}
Linking options:
  • https://www.mathnet.ru/eng/mzm6824
  • https://www.mathnet.ru/eng/mzm/v5/i2/p195
    • This publication is cited in the following 2 articles:
    1. B. I. Golubov, “The asymptotic Lp-norm of differentiated Fourier sums of functions of bounded variation”, Math. USSR-Izv., 7:2 (1973), 401–423  mathnet  crossref  mathscinet  zmath
    2. B. I. Golubov, “Best approximations of functions in the Lp metric by Haar and Walsh polynomials”, Math. USSR-Sb., 16:2 (1972), 265–285  mathnet  crossref  mathscinet  zmath
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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