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Russian Academy of Sciences. Sbornik. Mathematics, 1994, Volume 77, Issue 2, Pages 367–384
DOI: https://doi.org/10.1070/SM1994v077n02ABEH003446 (Mi sm1092) 		 
This article is cited in 46 scientific papers (total in 46 papers)

Hermite–Padé approximation for Nikishin systems of analytic functions

Zh. Bustamante, G. López Lagomasino
English version PDF (831 kB) Citations (46)
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DOI: https://doi.org/10.1070/SM1994v077n02ABEH003446
Abstract: Nikishin type systems of analytic functions are considered. For such systems, convergence of the main diagonal of the associated Hermite-Padé approximants is proved, when interpolation is equally distributed between the functions. If interpolation is 'nearly' equally distributed, then convergence in capacity takes place. Multipoint Padé approximation plays a key role in the proof.
Received: 15.10.1991
Russian version:
Matematicheskii Sbornik, 1992, Volume 183, Number 11, Pages 117–138
Bibliographic databases:
UDC: 517.53
MSC: Primary 30E10; Secondary 41A21
Language: English
Original paper language: Russian
Citation: Zh. Bustamante, G. López Lagomasino, “Hermite–Padé approximation for Nikishin systems of analytic functions”, Mat. Sb., 183:11 (1992), 117–138; Russian Acad. Sci. Sb. Math., 77:2 (1994), 367–384
Citation in format AMSBIB
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\by Zh.~Bustamante, G.~L\'opez Lagomasino
\paper Hermite--Pad\'e approximation for Nikishin systems of analytic functions
\jour Mat. Sb.
\yr 1992
\vol 183
\issue 11
\pages 117--138
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\transl
\jour Russian Acad. Sci. Sb. Math.
\yr 1994
\vol 77
\issue 2
\pages 367--384
\crossref{https://doi.org/10.1070/SM1994v077n02ABEH003446}
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    • This publication is cited in the following 46 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Математический сборник - 1992–2005 Sbornik: Mathematics
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    Russian version PDF:176
    English version PDF:19
    References:58
    First page:1
     
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