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Matematicheskie Zametki, 2005, Volume 77, Issue 6, Pages 814–831
DOI: https://doi.org/10.4213/mzm2538 (Mi mzm2538) 		 
This article is cited in 2 scientific papers (total in 2 papers)

On the Order of the Lebesgue Constants for Interpolation by Algebraic Polynomials from Values at Uniform Nodes of a Simplex

N. V. Baidakova

Institute of Mathematics and Mechanics, Ural Branch of the Russian Academy of Sciences
Full-text PDF (238 kB) Citations (2)
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DOI: https://doi.org/10.4213/mzm2538
Abstract: For interpolation processes by algebraic polynomials of degree $n$ from values at uniform nodes of an $m$-simplex, where $m\ge2$, we obtain the order of growth in $n$ of the Lebesgue constants, which coincides with that in the one-dimensional case for which Turetskii obtained an asymptotics earlier.
Received: 25.07.2003
Revised: 21.12.2004
English version:
Mathematical Notes, 2005, Volume 77, Issue 6, Pages 751–766
DOI: https://doi.org/10.1007/s11006-005-0076-1
Bibliographic databases:
UDC: 517.518.8
Language: Russian
Citation: N. V. Baidakova, “On the Order of the Lebesgue Constants for Interpolation by Algebraic Polynomials from Values at Uniform Nodes of a Simplex”, Mat. Zametki, 77:6 (2005), 814–831; Math. Notes, 77:6 (2005), 751–766
Citation in format AMSBIB
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    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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