Enviar artigo por via de e-mail Estimate of the norm of the Lagrange interpolation operator in the multidimensional weighted Sobolev space
- Autores: Fedotov A.I.1
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Afiliações:
- Kazan Federal University
- Edição: Volume 99, Nº 5-6 (2016)
- Páginas: 747-756
- Seção: Article
- URL: https://journals.rcsi.science/0001-4346/article/view/149410
- DOI: https://doi.org/10.1134/S0001434616050126
- ID: 149410
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Resumo
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.
Sobre autores
A. Fedotov
Kazan Federal University
Autor responsável pela correspondência
Email: fedotov@mi.ru
Rússia, Kazan
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