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Trudy Instituta Matematiki i Mekhaniki UrO RAN, 2015, Volume 21, Number 1, Pages 213–219 (Mi timm1158)  
This article is cited in 4 scientific papers (total in 4 papers)

On Lebesgue constants of local parabolic splines

E. V. Strelkova, V. T. Shevaldin

Institute of Mathematics and Mechanics, Ural Branch of the Russian Academy of Sciences, Ekaterinburg
Full-text PDF (150 kB) Citations (4)
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Abstract: Lebesgue constants (the norms of linear operators from $C$ to $C$) are calculated exactly for local parabolic splines with an arbitrary arrangement of knots, which were constructed by the second author in 2005, and for N.P. Korneichuk's local parabolic splines, which are exact on quadratic functions. Both constants are smaller than the constants for interpolation parabolic splines.
Keywords: Lebesgue constants; local parabolic splines; arbitrary knots.
Received: 12.08.2014
English version:
Proceedings of the Steklov Institute of Mathematics (Supplementary issues), 2015, Volume 289, Issue 1, Pages 192–198
DOI: https://doi.org/10.1134/S008154381505017X
Bibliographic databases:
Document Type: Article
UDC: 519.65
Language: Russian
Citation: E. V. Strelkova, V. T. Shevaldin, “On Lebesgue constants of local parabolic splines”, Trudy Inst. Mat. i Mekh. UrO RAN, 21, no. 1, 2015, 213–219; Proc. Steklov Inst. Math. (Suppl.), 289, suppl. 1 (2015), 192–198
Citation in format AMSBIB
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    • This publication is cited in the following 4 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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