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Matematicheskie Zametki, 1997, Volume 62, Issue 3, Pages 363–371
DOI: https://doi.org/10.4213/mzm1618 (Mi mzm1618) 		 
This article is cited in 1 scientific paper (total in 1 paper)

Approximation of functions of bounded $p$-variation by polynomials in terms of the Faber–Schauder system

S. S. Volosivets

Saratov State University named after N. G. Chernyshevsky
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DOI: https://doi.org/10.4213/mzm1618
Abstract: In this paper the best polynomial approximation in terms of the system of Faber–Schauder functions in the space $C_p[0,1]$ is studied. The constant in the estimate of Jackson's inequality for the best approximation in the metric of $C_p[0,1]$ and the estimate of the modulus of continuity $\omega_{1-1/p}$ are refined.
Received: 11.01.1996
English version:
Mathematical Notes, 1997, Volume 62, Issue 3, Pages 306–313
DOI: https://doi.org/10.1007/BF02360871
Bibliographic databases:
UDC: 517
Language: Russian
Citation: S. S. Volosivets, “Approximation of functions of bounded $p$-variation by polynomials in terms of the Faber–Schauder system”, Mat. Zametki, 62:3 (1997), 363–371; Math. Notes, 62:3 (1997), 306–313
Citation in format AMSBIB
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\pages 306--313
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  • https://doi.org/10.4213/mzm1618
  • https://www.mathnet.ru/eng/mzm/v62/i3/p363
    • This publication is cited in the following 1 articles:
    1. Nikolaj Mormul`, Alexander Shchitov, “A study of approximation of functions of bounded variation by Faber-Schauder partial sums”, EEJET, 4:4 (100) (2019), 14  crossref
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Математические заметки Mathematical Notes
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