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Matematicheskie Zametki, 2008, Volume 84, Issue 3, Pages 452–471
DOI: https://doi.org/10.4213/mzm5541 (Mi mzm5541) 		 
This article is cited in 24 scientific papers (total in 24 papers)

Approximation Properties of the Vallée-Poussin Means of Partial Sums of a Mixed Series of Legendre Polynomials

I. I. Sharapudinov

Daghestan Scientific Centre of the Russian Academy of Sciences
Full-text PDF (514 kB) Citations (24)
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DOI: https://doi.org/10.4213/mzm5541
Abstract: We estimate the order of weighted approximations of functions and their derivatives by using the means of mixed series of Legendre polynomials. As the main result, we obtain estimates of the order of approximation of a function and its derivatives by the Vallée-Poussin means and their derivatives.
Keywords: approximation of functions, Legendre polynomial, Fourier–Legendre series, Vallée-Poussin means, Jacobi polynomial, Hermite interpolation polynomial.
Received: 04.04.2007
English version:
Mathematical Notes, 2008, Volume 84, Issue 3, Pages 417–434
DOI: https://doi.org/10.1134/S0001434608090125
Bibliographic databases:
UDC: 517.518.82
Language: Russian
Citation: I. I. Sharapudinov, “Approximation Properties of the Vallée-Poussin Means of Partial Sums of a Mixed Series of Legendre Polynomials”, Mat. Zametki, 84:3 (2008), 452–471; Math. Notes, 84:3 (2008), 417–434
Citation in format AMSBIB
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    • This publication is cited in the following 24 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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