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Matematicheskie Zametki, 2016, Volume 99, Issue 5, Pages 752–763
DOI: https://doi.org/10.4213/mzm10686 (Mi mzm10686) 		 
This article is cited in 2 scientific papers (total in 2 papers)

Estimate of the Norm of the Lagrange Interpolation Operator in the Multidimensional Weighted Sobolev Space

A. I. Fedotov

Kazan (Volga Region) Federal University
Full-text PDF (461 kB) Citations (2)
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DOI: https://doi.org/10.4213/mzm10686
Abstract: An estimate of the norm of the Lagrange interpolation operator in the multidimensional weighted Sobolev space is obtained. It is shown that, under a certain choice of the sequence of multi-indices, the interpolating polynomials converge to the interpolated function and the rate of convergence is of the order of the best approximation of this function by algebraic polynomials in this space.
Keywords: Lagrange interpolation operator, weighted Sobolev space, interpolating polynomials, approximation by algebraic polynomials, Chebyshev polynomials, Fourier coefficients of a polynomial.
Received: 22.03.2015
Revised: 24.11.2015
English version:
Mathematical Notes, 2016, Volume 99, Issue 5, Pages 747–756
DOI: https://doi.org/10.1134/S0001434616050126
Bibliographic databases:
Document Type: Article
UDC: 517.518.823
Language: Russian
Citation: A. I. Fedotov, “Estimate of the Norm of the Lagrange Interpolation Operator in the Multidimensional Weighted Sobolev Space”, Mat. Zametki, 99:5 (2016), 752–763; Math. Notes, 99:5 (2016), 747–756
Citation in format AMSBIB
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    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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