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Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2013, Number 7, Pages 77–89 (Mi ivm8812)  
This article is cited in 3 scientific papers (total in 3 papers)

Lebesgue functions corresponding to a family of Lagrange interpolation polynomials

I. A. Shakirov

Chair of Mathematics and its Teaching Principles, Naberezhnye Chelny Institute of Social Pedagogical Technologies and Resources, 28 Nizametdinov str., Naberezhnye Chelny, 423806 Russia
Full-text PDF (217 kB) Citations (3)
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Abstract: In this paper we obtain various explicit forms of the Lebesgue function corresponding to a family of Lagrange interpolation polynomials defined at an even number of nodes. We study these forms by using the derivatives up to the second order inclusive. We estimate exact values of Lebesgue constants for this family from below and above in terms of known parameters. In a particular case we obtain new simple formulas for calculating these estimates.
Keywords: Lagrange interpolation polynomials, Lebesgue functions and constants, generalized Dirichlet kernel.
Received: 26.01.2012
Revised: 12.09.2012
English version:
Russian Mathematics (Izvestiya VUZ. Matematika), 2013, Volume 57, Issue 7, Pages 66–76
DOI: https://doi.org/10.3103/S1066369X13070074
Bibliographic databases:
Document Type: Article
UDC: 519.65
Language: Russian
Citation: I. A. Shakirov, “Lebesgue functions corresponding to a family of Lagrange interpolation polynomials”, Izv. Vyssh. Uchebn. Zaved. Mat., 2013, no. 7, 77–89; Russian Math. (Iz. VUZ), 57:7 (2013), 66–76
Citation in format AMSBIB
\Bibitem{Sha13}
\by I.~A.~Shakirov
\paper Lebesgue functions corresponding to a~family of Lagrange interpolation polynomials
\jour Izv. Vyssh. Uchebn. Zaved. Mat.
\yr 2013
\issue 7
\pages 77--89
\mathnet{http://mi.mathnet.ru/ivm8812}
\transl
\jour Russian Math. (Iz. VUZ)
\yr 2013
\vol 57
\issue 7
\pages 66--76
\crossref{https://doi.org/10.3103/S1066369X13070074}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84879771593}
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    • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Известия высших учебных заведений. Математика Russian Mathematics (Izvestiya VUZ. Matematika)
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