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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 $(0, \pi)$ 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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    • This publication is cited in the following 5 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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