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Sibirskii Zhurnal Vychislitel'noi Matematiki, 2017, Volume 20, Number 4, Pages 445–451
DOI: https://doi.org/10.15372/SJNM20170408 (Mi sjvm663) 		 
This article is cited in 3 scientific papers (total in 3 papers)

The Lebesgue constant of local cubic splines with equally-spaced knots

V. T. Shevaldinab, O. Ya. Shevaldinab

a Institute of Mathematics and Mechanics, Ural Branch of the Russian Academy of Sciences, 16 S. Kovalevskaja str., Ekaterinburg, 620990, Russia
b Ural Federal University, 19 Mira str., Ekaterinburg, 620002, Russia
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DOI: https://doi.org/10.15372/SJNM20170408
Abstract: It is proved that the uniform Lebesgue constant (the norm of a linear operator from $C$ to $C$) of local cubic splines with equally-spaced knots, which preserve cubic polynomials, is equal to $11/9$.
Key words: Lebesgue constants, local cubic splines, equally-spaced knots.
Funding agency Grant number
Russian Academy of Sciences - Federal Agency for Scientific Organizations 15-16-1-4
Ministry of Education and Science of the Russian Federation 02.А03.21.0006
Received: 20.03.2017
Revised: 25.05.2017
English version:
Numerical Analysis and Applications, 2017, Volume 10, Issue 4, Pages 362–367
DOI: https://doi.org/10.1134/S1995423917040085
Bibliographic databases:
Document Type: Article
UDC: 519.65
Language: Russian
Citation: V. T. Shevaldin, O. Ya. Shevaldina, “The Lebesgue constant of local cubic splines with equally-spaced knots”, Sib. Zh. Vychisl. Mat., 20:4 (2017), 445–451; Num. Anal. Appl., 10:4 (2017), 362–367
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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