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Matematicheskie Zametki, 2017, Volume 102, Issue 1, Pages 133–147
DOI: https://doi.org/10.4213/mzm11651 (Mi mzm11651) 		 
This article is cited in 1 scientific paper (total in 1 paper)

Asymptotic Formulas for Lebesgue Functions Corresponding to the Family of Lagrange Interpolation Polynomials

I. A. Shakirov

Naberezhnye Chelny State Pedagogical University
Full-text PDF (521 kB) Citations (1)
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DOI: https://doi.org/10.4213/mzm11651
Abstract: The asymptotic behavior of Lebesgue functions of trigonometric Lagrange interpolation polynomials constructed on an even number of nodes is studied. For these functions, asymptotic formulas involving concrete simplest trigonometric and algebraic-trigonometric polynomials were first obtained.
Keywords: Lagrange polynomials, Lebesgue functions and constants, asymptotic formula for a Lebesgue function, error function.
Received: 16.03.2014
Revised: 27.01.2017
English version:
Mathematical Notes, 2017, Volume 102, Issue 1, Pages 111–123
DOI: https://doi.org/10.1134/S0001434617070124
Bibliographic databases:
Document Type: Article
UDC: 591.65
Language: Russian
Citation: I. A. Shakirov, “Asymptotic Formulas for Lebesgue Functions Corresponding to the Family of Lagrange Interpolation Polynomials”, Mat. Zametki, 102:1 (2017), 133–147; Math. Notes, 102:1 (2017), 111–123
Citation in format AMSBIB
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    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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