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Matematicheskie Zametki, 2021, Volume 110, Issue 4, Pages 483–497
DOI: https://doi.org/10.4213/mzm13059 (Mi mzm13059) 		 
This article is cited in 4 scientific papers (total in 4 papers)

Approximation Properties of the Vallée-Poussin Means of Partial Sums of a Special Series in Laguerre Polynomials

R. M. Gadzhimirzaev, T. N. Shakh-Emirov

Daghestan Scientific Centre of Russian Academy of Sciences, Makhachkala
Full-text PDF (481 kB) Citations (4)
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DOI: https://doi.org/10.4213/mzm13059
Abstract: We consider the problem of the approximation of functions, continuous on the semiaxis $[0,\infty)$ and for which the derivatives $f^{(\nu)}(0)$, $\nu=0,\dots,r-1$ exist at the point $x=0$, by the Vallée-Poussin means of partial sums of a special series in Laguerre polynomials.
Keywords: Laguerre polynomials, special series, approximation properties, Vallée-Poussin means.
Received: 01.03.2021
Revised: 17.05.2021
English version:
Mathematical Notes, 2021, Volume 110, Issue 4, Pages 475–488
DOI: https://doi.org/10.1134/S0001434621090182
Bibliographic databases:
Document Type: Article
UDC: 517.518.822
Language: Russian
Citation: R. M. Gadzhimirzaev, T. N. Shakh-Emirov, “Approximation Properties of the Vallée-Poussin Means of Partial Sums of a Special Series in Laguerre Polynomials”, Mat. Zametki, 110:4 (2021), 483–497; Math. Notes, 110:4 (2021), 475–488
Citation in format AMSBIB
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    • This publication is cited in the following 4 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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