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Sibirskii Matematicheskii Zhurnal, 2010, Volume 51, Number 2, Pages 330–341 (Mi smj2086)  
This article is cited in 8 scientific papers (total in 8 papers)

Sharp Lebesgue constants for bounded cubic interpolation $\mathcal L$-splines

V. A. Kim

Institute of Mathematics and Mechanics, Ural Branch of the Russian Academy of Sciences
Full-text PDF (334 kB) Citations (8)
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Abstract: We construct the Lebesgue function and find sharp Lebesgue constants for bounded cubic interpolation $\mathcal L$-splines with equally spaced interpolation nodes and discontinuities of the second derivative chosen so that the cubic $\mathcal L$-splines satisfy a certain extremal property with respect to the functions under interpolation.
Keywords: spline, $\mathcal L$-spline, approximation, interpolation, Lebesgue constant.
Received: 08.10.2008
English version:
Siberian Mathematical Journal, 2010, Volume 51, Issue 2, Pages 267–276
DOI: https://doi.org/10.1007/s11202-010-0026-3
Bibliographic databases:
Document Type: Article
UDC: 517.518.8
Language: Russian
Citation: V. A. Kim, “Sharp Lebesgue constants for bounded cubic interpolation $\mathcal L$-splines”, Sibirsk. Mat. Zh., 51:2 (2010), 330–341; Siberian Math. J., 51:2 (2010), 267–276
Citation in format AMSBIB
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    • This publication is cited in the following 8 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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