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Matematicheskie Zametki, 1970, Volume 7, Issue 4, Pages 483–493 (Mi mzm9532)  
Regularization of Ritz method on an example of polynomial approximation

N. S. Bakhvalov, M. Shtrekho

M. V. Lomonosov Moscow State University
Full-text PDF (1105 kB) Citations (1)
Abstract: Relation is established between the rate of approximating of a function by polynomials and the rate of growth of the coefficients of these polynomials depending on analytic or differential properties of these functions. It is found that our result is connected with regularization of the Ritz method and with the construction of standard programs for function computation.
Received: 25.09.1969
English version:
Mathematical Notes, 1970, Volume 7, Issue 4, Pages 293–299
DOI: https://doi.org/10.1007/BF01151705
Bibliographic databases:
Document Type: Article
UDC: 519
Language: Russian
Citation: N. S. Bakhvalov, M. Shtrekho, “Regularization of Ritz method on an example of polynomial approximation”, Mat. Zametki, 7:4 (1970), 483–493; Math. Notes, 7:4 (1970), 293–299
Citation in format AMSBIB
\Bibitem{BakSht70}
\by N.~S.~Bakhvalov, M.~Shtrekho
\paper Regularization of Ritz method on an example of polynomial approximation
\jour Mat. Zametki
\yr 1970
\vol 7
\issue 4
\pages 483--493
\mathnet{http://mi.mathnet.ru/mzm9532}
\mathscinet{https://mathscinet.ams.org/mathscinet-getitem?mr=279961}
\zmath{https://zbmath.org/?q=an:0268.65038}
\transl
\jour Math. Notes
\yr 1970
\vol 7
\issue 4
\pages 293--299
\crossref{https://doi.org/10.1007/BF01151705}
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