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Izvestiya: Mathematics, 2021, Volume 85, Issue 3, Pages 351–366
DOI: https://doi.org/10.1070/IM9047 (Mi im9047) 		 
This article is cited in 3 scientific papers (total in 3 papers)

On a lower bound for the rate of convergence of multipoint Padé approximants of piecewise analytic functions

V. I. Buslaev

Steklov Mathematical Institute of Russian Academy of Sciences, Moscow
English version PDF (529 kB) Citations (3)
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DOI: https://doi.org/10.1070/IM9047
Abstract: We obtain a lower bound for the rate of convergence of multipoint Padé approximants of functions holomorphically extendable from a compact set to a union of domains whose boundaries possess a symmetry property. The bound obtained matches a known upper bound for the same quantity.
Keywords: rational approximation, orthogonal polynomials, Padé approximants, distribution of poles, convergence in capacity.
Funding agency Grant number
Russian Science Foundation 19-11-00316
This paper was written with the support of the Russian Science Foundation (grant no. 19-11-00316).
Received: 31.03.2020
Revised: 01.04.2020
Russian version:
Izvestiya Rossiiskoi Akademii Nauk. Seriya Matematicheskaya, 2021, Volume 85, Issue 3, Pages 13–29
DOI: https://doi.org/10.4213/im9047
Bibliographic databases:
Document Type: Article
UDC: 517.53
MSC: 30E10, 41A21, 41A25, 41A28
Language: English
Original paper language: Russian
Citation: V. I. Buslaev, “On a lower bound for the rate of convergence of multipoint Padé approximants of piecewise analytic functions”, Izv. RAN. Ser. Mat., 85:3 (2021), 13–29; Izv. Math., 85:3 (2021), 351–366
Citation in format AMSBIB
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    • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Известия Российской академии наук. Серия математическая Izvestiya: Mathematics
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    Russian version PDF:41
    English version PDF:21
    Russian version HTML:102
    References:26
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