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Lobachevskii Journal of Mathematics, 2004, Volume 14, Pages 25–32 (Mi ljm88)  
Lebesgue constant estimation in multidimensional Sobolev space

A. I. Fedotov

N. G. Chebotarev Research Institute of Mathematics and Mechanics, Kazan State University
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Abstract: The norm estimation of the Lagrange interpolation operator is obtained. It is shown that the rate of convergence of the interpolative polynomials depends on the choice of the sequence of multiindices and, for some sequences, is equal to the rate of the best approximation of the interpolated function.
Submitted by: F. G. Avkhadiev
Received: 05.12.2003
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Language: English
Citation: A. I. Fedotov, “Lebesgue constant estimation in multidimensional Sobolev space”, Lobachevskii J. Math., 14 (2004), 25–32
Citation in format AMSBIB
\Bibitem{Fed04}
\by A.~I.~Fedotov
\paper Lebesgue constant estimation in multidimensional Sobolev space
\jour Lobachevskii J. Math.
\yr 2004
\vol 14
\pages 25--32
\mathnet{http://mi.mathnet.ru/ljm88}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2034259}
\zmath{https://zbmath.org/?q=an:1042.41001}
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