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Itogi Nauki i Tekhniki. Sovremennaya Matematika i ee Prilozheniya. Tematicheskie Obzory, 2018, Volume 153, Pages 151–157 (Mi into371)  
This article is cited in 1 scientific paper (total in 1 paper)

Approximation of the Lebesgue Constant of a Lagrange Polynomial by a Logarithmic Function with Shifted Argument

I. A. Shakirov

Naberezhnye Chelny State Pedagogical University
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Abstract: Well-known two-sided estimates for the Lebesgue constants of two classical trigonometric interpolation Lagrange polynomials are improved. Approximations of these Lebesgue constants are based on logarithmic functions with shifted arguments.
Keywords: Lagrange interpolation polynomial, remainder term, Lebesgue constant, approximation by logarithmic functions, extremal problem, best approximation element.
English version:
Journal of Mathematical Sciences (New York), 2021, Volume 252, Issue 3, Pages 445–452
DOI: https://doi.org/10.1007/s10958-020-05172-7
Bibliographic databases:
Document Type: Article
UDC: 517.518.85
MSC: 42A15
Language: Russian
Citation: I. A. Shakirov, “Approximation of the Lebesgue Constant of a Lagrange Polynomial by a Logarithmic Function with Shifted Argument”, Complex analysis, Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz., 153, VINITI, Moscow, 2018, 151–157; J. Math. Sci. (N. Y.), 252:3 (2021), 445–452
Citation in format AMSBIB
\Bibitem{Sha18}
\by I.~A.~Shakirov
\paper Approximation of the Lebesgue Constant of a Lagrange Polynomial by a Logarithmic Function with Shifted Argument
\inbook Complex analysis
\serial Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz.
\yr 2018
\vol 153
\pages 151--157
\publ VINITI
\publaddr Moscow
\mathnet{http://mi.mathnet.ru/into371}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3903399}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2021
\vol 252
\issue 3
\pages 445--452
\crossref{https://doi.org/10.1007/s10958-020-05172-7}
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