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Sovremennye Problemy Matematiki, 2003, Issue 1, Pages 83–106
DOI: https://doi.org/10.4213/spm4 (Mi spm4) 		 
This article is cited in 32 scientific papers (total in 33 papers)

Rational Approximations of Analytic Functions

A. A. Gonchar
Full-text PDF (287 kB) Citations (33) English version article
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DOI: https://doi.org/10.4213/spm4
Abstract: The paper provides an overview of the author's contribution to the theory of constructive rational approximations of analytic functions. The results presented are related to the convergence theory of Padé approximants and of more general rational interpolation processes, which significantly expand the classical theory's framework of continuous fractions, to inverse problems in the theory of Padé approximants, to the application of multipoint Padé approximants (solutions of Cauchy–Jacobi interpolation problem) in explorations connected with the rate of Chebyshev rational approximation of analytic functions and to the asymptotic properties of Padé–Hermite approximation for systems of Markov type functions.
English version:
Proceedings of the Steklov Institute of Mathematics (Supplementary issues), 2011, Volume 272, Issue 2, Pages S44–S57
DOI: https://doi.org/10.1134/S0081543811030047
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: A. A. Gonchar, “Rational Approximations of Analytic Functions”, Sovrem. Probl. Mat., 1, Steklov Math. Institute of RAS, Moscow, 2003, 83–106; Proc. Steklov Inst. Math., 272, suppl. 2 (2011), S44–S57
Citation in format AMSBIB
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\paper Rational Approximations of Analytic Functions
\serial Sovrem. Probl. Mat.
\yr 2003
\vol 1
\pages 83--106
\publ Steklov Math. Institute of RAS
\publaddr Moscow
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\transl
\jour Proc. Steklov Inst. Math.
\yr 2011
\vol 272
\issue , suppl. 2
\pages S44--S57
\crossref{https://doi.org/10.1134/S0081543811030047}
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    • This publication is cited in the following 33 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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