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Sibirskii Matematicheskii Zhurnal, 2019, Volume 60, Number 6, Pages 1247–1259
DOI: https://doi.org/10.33048/smzh.2019.60.605 (Mi smj3146) 		 
This article is cited in 3 scientific papers (total in 3 papers)

Study of the convergence of interpolation processes with splines of even degree

Yu. S. Volkovab

a Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences, Novosibirsk
b Novosibirsk State University
Full-text PDF (450 kB) Citations (3)
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DOI: https://doi.org/10.33048/smzh.2019.60.605
Abstract: We study the convergence of interpolation processes by Subbotin polynomial splines of even degree. We prove that the good conditionality of a system of equations for constructing an interpolation spline via the coefficients of the expansion of the kth derivative in B-splines is equivalent to the convergence of the interpolation process for the kth derivative of the spline in the class of functions with continuous kth derivative.
Funding agency Grant number
Russian Academy of Sciences - Federal Agency for Scientific Organizations 0314-2016-0013
Russian Foundation for Basic Research 19-51-12008
The work was carried out in the framework of the State Contract of the Sobolev Institute of Mathematics (Project 0314—2016—0013). The author was also partially supported by the Russian Foundation for Basic Research and the German Science Foundation (Grant 19—51—12008).
Received: 30.01.2019
Revised: 15.04.2019
Accepted: 15.05.2019
English version:
Siberian Mathematical Journal, 2019, Volume 60, Issue 6, Pages 973–983
DOI: https://doi.org/10.1134/S0037446619060053
Bibliographic databases:
Document Type: Article
UDC: 517.518.85
Language: Russian
Citation: Yu. S. Volkov, “Study of the convergence of interpolation processes with splines of even degree”, Sibirsk. Mat. Zh., 60:6 (2019), 1247–1259; Siberian Math. J., 60:6 (2019), 973–983
Citation in format AMSBIB
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    • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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