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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2018, Volume 58, Number 11, Pages 1780–1793
DOI: https://doi.org/10.31857/S004446690003532-6 (Mi zvmmf10851) 		 
This article is cited in 5 scientific papers (total in 5 papers)

Sufficient condition for convergence of Lagrange–Sturm–Liouville processes in terms of one-sided modulus of continuity

A. Yu. Trynin

Saratov State University, Saratov, Russia
Citations (5)
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DOI: https://doi.org/10.31857/S004446690003532-6
Abstract: A sufficient condition for the uniform convergence in the interval (0,π) of interpolation processes based on the eigenfunctions of a regular Sturm–Liouville problem with a continuous bounded variation potential is obtained. The condition is formulated in terms of a one-sided modulus of continuity of a function.
Key words: sinc approximation, interpolation of functions, uniform approximation, Lagrange–Sturm–Liouville processes.
Received: 08.12.2017
Revised: 16.02.2018
English version:
Computational Mathematics and Mathematical Physics, 2018, Volume 58, Issue 11, Pages 1716–1727
DOI: https://doi.org/10.1134/S0965542518110143
Bibliographic databases:
Document Type: Article
UDC: 517.518.8
Language: Russian
Citation: A. Yu. Trynin, “Sufficient condition for convergence of Lagrange–Sturm–Liouville processes in terms of one-sided modulus of continuity”, Zh. Vychisl. Mat. Mat. Fiz., 58:11 (2018), 1780–1793; Comput. Math. Math. Phys., 58:11 (2018), 1716–1727
Citation in format AMSBIB
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  • https://www.mathnet.ru/eng/zvmmf/v58/i11/p1780
    • This publication is cited in the following 5 articles:
    1. A. Yu. Trynin, “Lagrange–Sturm–Liouville Processes”, J Math Sci, 261:3 (2022), 455  crossref
    2. A. Yu. Trynin, “O skhodimosti obobschenii sink-approksimatsii na klasse Privalova–Chanturiya”, Sib. zhurn. industr. matem., 24:3 (2021), 122–137  mathnet  crossref
    3. A. Yu. Trynin, “On the Convergence of Generalizations of the Sinc Approximations on the Privalov–Chanturia Class”, J. Appl. Ind. Math., 15:3 (2021), 531  crossref
    4. A. Yu. Trynin, “Sufficient Conditions for Convergence of Generalized Sinc-Approximations on Segment”, J Math Sci, 255:4 (2021), 513  crossref
    5. A. Yu. Trynin, “Error Estimate for Uniform Approximation by Lagrange–Sturm–Liouville Processes”, J Math Sci, 247:6 (2020), 939  crossref
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Журнал вычислительной математики и математической физики Computational Mathematics and Mathematical Physics
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