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Izvestiya: Mathematics, 2005, Volume 69, Issue 1, Pages 1–14
DOI: https://doi.org/10.1070/IM2005v069n01ABEH000519 (Mi im622) 		 
This article is cited in 13 scientific papers (total in 13 papers)

On orthorecursive expansions with errors in the calculation of coefficients

V. V. Galatenko

M. V. Lomonosov Moscow State University
English version PDF (204 kB) Citations (13) Russian version article
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DOI: https://doi.org/10.1070/IM2005v069n01ABEH000519
Abstract: We study orthorecursive expansions with errors in the calculation of coefficients. We prove that if a system of elements in a space with scalar product satisfies certain requirements, then the orthorecursive expansion with respect to this system is absolutely stable under a large class of relative and absolute numerical errors. It is also stable under small perturbations of the system.
Received: 09.07.2003
Bibliographic databases:
UDC: 517.518+517.982
MSC: 41A46, 42C15, 65D15
Language: English
Original paper language: Russian
Citation: V. V. Galatenko, “On orthorecursive expansions with errors in the calculation of coefficients”, Izv. Math., 69:1 (2005), 1–14
Citation in format AMSBIB
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\by V.~V.~Galatenko
\paper On orthorecursive expansions with errors in the calculation of coefficients
\jour Izv. Math.
\yr 2005
\vol 69
\issue 1
\pages 1--14
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    • This publication is cited in the following 13 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Известия Российской академии наук. Серия математическая Izvestiya: Mathematics
     
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