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 Mat. Zametki: Year: Volume: Issue: Page: Find

 Mat. Zametki, 1997, Volume 62, Issue 3, Pages 363–371 (Mi mz1618)

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

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.

DOI: https://doi.org/10.4213/mzm1618

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English version:
Mathematical Notes, 1997, 62:3, 306–313

Bibliographic databases:

UDC: 517

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
\Bibitem{Vol97} \by S.~S.~Volosivets \paper Approximation of functions of bounded $p$-variation by polynomials in terms of the Faber--Schauder system \jour Mat. Zametki \yr 1997 \vol 62 \issue 3 \pages 363--371 \mathnet{http://mi.mathnet.ru/mz1618} \crossref{https://doi.org/10.4213/mzm1618} \mathscinet{http://www.ams.org/mathscinet-getitem?mr=1620058} \zmath{https://zbmath.org/?q=an:0923.41009} \transl \jour Math. Notes \yr 1997 \vol 62 \issue 3 \pages 306--313 \crossref{https://doi.org/10.1007/BF02360871} \isi{http://gateway.isiknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&DestLinkType=FullRecord&DestApp=ALL_WOS&KeyUT=000072500900005}