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Trudy Matematicheskogo Instituta imeni V.A. Steklova, 2006, Volume 253, Pages 14–29 (Mi tm80)  
This article is cited in 7 scientific papers (total in 7 papers)

On the Fabry Ratio Theorem for Orthogonal Series

V. I. Buslaev

Steklov Mathematical Institute, Russian Academy of Sciences
Full-text PDF (227 kB) Citations (7)
References:
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Abstract: It is proved that the Fabry ratio theorem for power series is valid under quite general assumptions and for orthogonal series.
Received in October 2005
English version:
Proceedings of the Steklov Institute of Mathematics, 2006, Volume 253, Pages 8–21
DOI: https://doi.org/10.1134/S0081543806020027
Bibliographic databases:
Document Type: Article
UDC: 517.524
Language: Russian
Citation: V. I. Buslaev, “On the Fabry Ratio Theorem for Orthogonal Series”, Complex analysis and applications, Collected papers, Trudy Mat. Inst. Steklova, 253, Nauka, MAIK «Nauka/Inteperiodika», M., 2006, 14–29; Proc. Steklov Inst. Math., 253 (2006), 8–21
Citation in format AMSBIB
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\by V.~I.~Buslaev
\paper On the Fabry Ratio Theorem for Orthogonal Series
\inbook Complex analysis and applications
\bookinfo Collected papers
\serial Trudy Mat. Inst. Steklova
\yr 2006
\vol 253
\pages 14--29
\publ Nauka, MAIK «Nauka/Inteperiodika»
\publaddr M.
\mathnet{http://mi.mathnet.ru/tm80}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2338684}
\zmath{https://zbmath.org/?q=an:1351.30019}
\elib{https://elibrary.ru/item.asp?id=13530374}
\transl
\jour Proc. Steklov Inst. Math.
\yr 2006
\vol 253
\pages 8--21
\crossref{https://doi.org/10.1134/S0081543806020027}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-33748310534}
Linking options:
  • https://www.mathnet.ru/eng/tm80
  • https://www.mathnet.ru/eng/tm/v253/p14
    • This publication is cited in the following 7 articles:
    1. Methawee Wajasat, Nattapong Bosuwan, “Rate of pole detection using Padé approximants to polynomial expansions”, Demonstratio Mathematica, 58:1 (2025)  crossref
    2. Matos J.C., Matos J.A., Rodrigues M.J., Vasconcelos P.B., “Approximating the Solution of Integro-Differential Problems Via the Spectral Tau Method With Filtering”, Appl. Numer. Math., 149:SI (2020), 164–175  crossref  mathscinet  isi
    3. Bosuwan N., “On Montessus de Ballore'S Theorem For Nonlinear Pade-Orthogonal Approximants”, Jaen J. Approx., 8:2 (2016), 151–173  mathscinet  zmath  isi
    4. Bosuwan N., Lopez Lagomasino G., “Inverse Theorem on Row Sequences of Linear Pade-Orthogonal Approximation”, Comput. Methods Funct. Theory, 15:4, SI (2015), 529–554  crossref  mathscinet  zmath  isi  elib  scopus
    5. A. I. Aptekarev, V. I. Buslaev, A. Martínez-Finkelshtein, S. P. Suetin, “Padé approximants, continued fractions, and orthogonal polynomials”, Russian Math. Surveys, 66:6 (2011), 1049–1131  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  elib  elib
    6. V. I. Buslaev, “An analogue of Fabry's theorem for generalized Padé approximants”, Sb. Math., 200:7 (2009), 981–1050  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  elib  elib
    7. D. V. Khristoforov, “On Asymptotic Properties of Interpolation Polynomials”, Math. Notes, 83:1 (2008), 116–124  mathnet  crossref  crossref  mathscinet  zmath  isi  elib  elib
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Труды Математического института имени В. А. Стеклова Proceedings of the Steklov Institute of Mathematics
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