Itogi Nauki i Tekhniki. Sovremennaya Matematika i ee Prilozheniya. Tematicheskie Obzory
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Itogi Nauki i Tekhniki. Sovremennaya Matematika i ee Prilozheniya. Tematicheskie Obzory, 2021, Volume 192, Pages 142–149
DOI: https://doi.org/10.36535/0233-6723-2021-192-142-149 (Mi into791) 		 
On the refinement of the asymptotic formula for the Lebesgue function of the Lagrange polynomial

I. A. Shakirov

Naberezhnye Chelny State Pedagogical University
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DOI: https://doi.org/10.36535/0233-6723-2021-192-142-149
Abstract: For the Lebesgue function corresponding to the Lagrange interpolation polynomial, strict lower and upper estimates are obtained and the well-known asymptotic formula is refined.
Keywords: Lagrange polynomial, Lebesgue function, asymptotic formula, uniform remainder estimate.
Document Type: Article
UDC: 517.58
MSC: 34A25
Language: Russian
Citation: I. A. Shakirov, “On the refinement of the asymptotic formula for the Lebesgue function of the Lagrange polynomial”, Proceedings of the Voronezh spring mathematical school “Modern methods of the theory of boundary-value problems. Pontryagin readings – XXX”. Voronezh, May 3-9, 2019. Part 3, Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz., 192, VINITI, Moscow, 2021, 142–149
Citation in format AMSBIB
\Bibitem{Sha21}
\by I.~A.~Shakirov
\paper On the refinement of the asymptotic formula for the Lebesgue function of the Lagrange polynomial
\inbook Proceedings of the Voronezh spring mathematical school
“Modern methods of the theory of boundary-value problems. Pontryagin
readings – XXX”.
Voronezh, May 3-9, 2019. Part 3
\serial Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz.
\yr 2021
\vol 192
\pages 142--149
\publ VINITI
\publaddr Moscow
\mathnet{http://mi.mathnet.ru/into791}
\crossref{https://doi.org/10.36535/0233-6723-2021-192-142-149}
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