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Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2010, Number 11, Pages 74–85 (Mi ivm7152)  
This article is cited in 13 scientific papers (total in 13 papers)

The divergence of Lagrange interpolation processes in eigenfunctions of the Sturm–Liouville problem

A. Yu. Trynin

Chair of Mathematical Physics and Computing Mathematics, Saratov State University, Saratov, Russia
Full-text PDF (244 kB) Citations (13)
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Abstract: In this paper we construct the example of a continuous function, for which the Lagrange–Sturm–Liouville process diverges almost everywhere.
Keywords: sampling theorem, interpolation, uniform convergence, sinc approximation.
Received: 25.02.2009
English version:
Russian Mathematics (Izvestiya VUZ. Matematika), 2010, Volume 54, Issue 11, Pages 66–76
DOI: https://doi.org/10.3103/S1066369X10110071
Bibliographic databases:
Document Type: Article
UDC: 517.518
Language: Russian
Citation: A. Yu. Trynin, “The divergence of Lagrange interpolation processes in eigenfunctions of the Sturm–Liouville problem”, Izv. Vyssh. Uchebn. Zaved. Mat., 2010, no. 11, 74–85; Russian Math. (Iz. VUZ), 54:11 (2010), 66–76
Citation in format AMSBIB
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\paper The divergence of Lagrange interpolation processes in eigenfunctions of the Sturm--Liouville problem
\jour Izv. Vyssh. Uchebn. Zaved. Mat.
\yr 2010
\issue 11
\pages 74--85
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\transl
\jour Russian Math. (Iz. VUZ)
\yr 2010
\vol 54
\issue 11
\pages 66--76
\crossref{https://doi.org/10.3103/S1066369X10110071}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-78649578550}
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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 высших учебных заведений. Математика Russian Mathematics (Izvestiya VUZ. Matematika)
     
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