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Matematicheskie Zametki, 2007, Volume 81, Issue 3, Pages 427–433
DOI: https://doi.org/10.4213/mzm3684 (Mi mzm3684) 		 
This article is cited in 2 scientific papers (total in 2 papers)

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

A. I. Fedotov

N. G. Chebotarev Research Institute of Mathematics and Mechanics, Kazan State University
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DOI: https://doi.org/10.4213/mzm3684
Abstract: We obtain an estimate of the norm of the Lagrange interpolation operator in a multidimensional Sobolev space. It is shown that, under a suitable choice of the sequence of multi-indices, interpolation polynomials converge to the interpolated function and their rate of convergence is of the order of the best approximation of this function.
Keywords: Lagrange interpolation operator, interpolation polynomial, rate of convergence, best approximation, Sobolev space, Hilbert space.
Received: 16.06.2003
Revised: 29.05.2006
English version:
Mathematical Notes, 2007, Volume 81, Issue 3, Pages 373–378
DOI: https://doi.org/10.1134/S000143460703011X
Bibliographic databases:
UDC: 517.518.823
Language: Russian
Citation: A. I. Fedotov, “Estimate of the Norm of the Lagrange Interpolation Operator in a Multidimensional Sobolev Space”, Mat. Zametki, 81:3 (2007), 427–433; Math. Notes, 81:3 (2007), 373–378
Citation in format AMSBIB
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    • This publication is cited in the following 2 articles:
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