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Algebra i Analiz, 2010, Volume 22, Issue 4, Pages 232–256 (Mi aa1202)  

This article is cited in 9 scientific papers (total in 9 papers)

Research Papers

On divergence of sinc-approximations everywhere on $(0,\pi)$

A. Yu. Trynin


Abstract: Some properties of sinc-approximations of continuous functions on a segment are studied.

Keywords: sinc-approximation, interpolation, Whittaker cardinal functions, convergence.

Full text: PDF file (327 kB)
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English version:
St. Petersburg Mathematical Journal, 2011, 22:4, 683–701

Bibliographic databases:

Received: 27.04.2009

Citation: A. Yu. Trynin, “On divergence of sinc-approximations everywhere on $(0,\pi)$”, Algebra i Analiz, 22:4 (2010), 232–256; St. Petersburg Math. J., 22:4 (2011), 683–701

Citation in format AMSBIB
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\paper On divergence of sinc-approximations everywhere on~$(0,\pi)$
\jour Algebra i Analiz
\yr 2010
\vol 22
\issue 4
\pages 232--256
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\transl
\jour St. Petersburg Math. J.
\yr 2011
\vol 22
\issue 4
\pages 683--701
\crossref{https://doi.org/10.1090/S1061-0022-2011-01163-X}
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    Citing articles on Google Scholar: Russian citations, English citations
    Related articles on Google Scholar: Russian articles, English articles

    This publication is cited in the following articles:
    1. A. Yu. Trynin, “On necessary and sufficient conditions for convergence of sinc-approximations”, St. Petersburg Math. J., 27:5 (2016), 825–840  mathnet  crossref  mathscinet  isi  elib
    2. A. Yu. Trynin, “On some properties of sinc approximations of continuous functions on the interval”, Ufa Math. J., 7:4 (2015), 111–126  mathnet  crossref  isi  elib
    3. A. Yu. Trynin, “Approximation of continuous on a segment functions with the help of linear combinations of sincs”, Russian Math. (Iz. VUZ), 60:3 (2016), 63–71  mathnet  crossref  isi
    4. A. Yu. Trynin, “Neobkhodimye i dostatochnye usloviya ravnomernoi na otrezke sink-approksimatsii funktsii ogranichennoi variatsii”, Izv. Sarat. un-ta. Nov. ser. Ser. Matematika. Mekhanika. Informatika, 16:3 (2016), 288–298  mathnet  crossref  mathscinet  elib
    5. Krivoshein A., Skopina M., “Multivariate Sampling-Type Approximation”, Anal. Appl., 15:4 (2017), 521–542  crossref  mathscinet  zmath  isi  scopus
    6. Kolomoitsev Yu., Skopina M., “Around Kotelnikov-Shannon Formula”, 2017 International Conference on Sampling Theory and Applications (Sampta), IEEE, 2017, 279–282  crossref  isi
    7. A. Yu. Trynin, “Uniform convergence of Lagrange–Sturm–Liouville processes on one functional class”, Ufa Math. J., 10:2 (2018), 93–108  mathnet  crossref  isi
    8. A. Yu. Trynin, “Skhodimost protsessov Lagranzha–Shturma–Liuvillya dlya nepreryvnykh funktsii ogranichennoi variatsii”, Vladikavk. matem. zhurn., 20:4 (2018), 76–91  mathnet  crossref
    9. A. Yu. Trynin, “Sufficient condition for convergence of Lagrange–Sturm–Liouville processes in terms of one-sided modulus of continuity”, Comput. Math. Math. Phys., 58:11 (2018), 1716–1727  mathnet  crossref  crossref  isi
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