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Izvestiya of Saratov University. Mathematics. Mechanics. Informatics, 2014, Volume 14, Issue 2, Pages 165–171
DOI: https://doi.org/10.18500/1816-9791-2014-14-2-165-171 (Mi isu500) 		 
Mathematics

Everywhere divergence of Lagrange processes on the unit circle

S. V. Tyshkevich, A. V. Shatalina

Saratov State University, 83, Astrakhanskaya str., 410012, Saratov, Russia
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DOI: https://doi.org/10.18500/1816-9791-2014-14-2-165-171
Abstract: We study the convergence of Lagrange interpolation processes in the closed unit disk. Choosing a matrix with a certain distribution of interpolation nodes allowed to construct the set, completely covering the unit circle, and the function for which the process diverges everywhere on this set.
Key words: interpolation, Lagrange polynomials.
Bibliographic databases:
Document Type: Article
UDC: 517.538.7
Language: Russian
Citation: S. V. Tyshkevich, A. V. Shatalina, “Everywhere divergence of Lagrange processes on the unit circle”, Izv. Saratov Univ. Math. Mech. Inform., 14:2 (2014), 165–171
Citation in format AMSBIB
\Bibitem{TysSha14}
\by S.~V.~Tyshkevich, A.~V.~Shatalina
\paper Everywhere divergence of Lagrange processes on the unit circle
\jour Izv. Saratov Univ. Math. Mech. Inform.
\yr 2014
\vol 14
\issue 2
\pages 165--171
\mathnet{http://mi.mathnet.ru/isu500}
\crossref{https://doi.org/10.18500/1816-9791-2014-14-2-165-171}
\elib{https://elibrary.ru/item.asp?id=21719216}
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    		Известия Саратовского университета. Новая серия. Серия Математика. Механика. Информатика
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