Email this article Estimate of the norm of the Lagrange interpolation operator in the multidimensional weighted Sobolev space
- Authors: Fedotov A.I.1
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Affiliations:
- Kazan Federal University
- Issue: Vol 99, No 5-6 (2016)
- Pages: 747-756
- Section: Article
- URL: https://journals.rcsi.science/0001-4346/article/view/149410
- DOI: https://doi.org/10.1134/S0001434616050126
- ID: 149410
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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.
About the authors
A. I. Fedotov
Kazan Federal University
Author for correspondence.
Email: fedotov@mi.ru
Russian Federation, Kazan
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