On the Integral of the Lebesgue Function Induced by Interpolation at the Chebyshev Nodes

Author: Brutman L.   Gopengauz I.   Toledano D.  

Publisher: Springer Publishing Company

ISSN: 0236-5294

Source: Acta Mathematica Hungarica, Vol.90, Iss.1-2, 2001-01, pp. : 11-28

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Abstract

The asymptotic behavior of the values of the integral of the Lebesgue function induced by interpolation at the Chebyshev roots is studied. Two leading terms in the corresponding asymptotic expansion are found explicitly.