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Matematicheskie Zametki, 2012, Volume 92, Issue 1, Pages 19–26
DOI: https://doi.org/10.4213/mzm8965 (Mi mzm8965) 		 
This article is cited in 1 scientific paper (total in 1 paper)

Lower Bound for the Lebesgue Function of an Interpolation Process with Algebraic Polynomials on Equidistant Nodes of a Simplex

N. V. Baidakovaab

a Institute of Mathematics and Mechanics, Ural Branch of the Russian Academy of Sciences
b Ural Federal University, Ekaterinburg
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DOI: https://doi.org/10.4213/mzm8965
Abstract: For an interpolation process with algebraic polynomials of degree n on equidistant nodes of an m-simplex for m⩾2, we obtain a pointwise lower bound for the Lebesgue function similar to the well-known estimate for interpolation on a closed interval.
Keywords: interpolation process, equidistant nodes, algebraic polynomial, Lebesgue function, m-simplex, Lebesgue constant.
Received: 27.10.2010
English version:
Mathematical Notes, 2012, Volume 92, Issue 1, Pages 16–22
DOI: https://doi.org/10.1134/S0001434612070024
Bibliographic databases:
Document Type: Article
UDC: 517.51
Language: Russian
Citation: N. V. Baidakova, “Lower Bound for the Lebesgue Function of an Interpolation Process with Algebraic Polynomials on Equidistant Nodes of a Simplex”, Mat. Zametki, 92:1 (2012), 19–26; Math. Notes, 92:1 (2012), 16–22
Citation in format AMSBIB
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    • This publication is cited in the following 1 articles:
    1. I. A. Shakirov, “Lebesgue functions corresponding to a family of Lagrange interpolation polynomials”, Russian Math. (Iz. VUZ), 57:7 (2013), 66–76  mathnet  crossref
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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