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The average errors for lagrange interpolation on the Wiener space

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Abstract

For the weighted approximation in L p -norm, we determine the asymptotic order for the paverage errors of Lagrange interpolation sequence based on the Chebyshev nodes on the Wiener space. We also determine its value in some special case.

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Authors and Affiliations

  1. Department of Mathematics, Tianjin Normal University, Tianjin, 300387, P. R. China

    Gui Qiao Xu

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  1. Gui Qiao Xu
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Correspondence to Gui Qiao Xu.

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Supported by National Natural Science Foundation of China (Grant No. 10471010)

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Xu, G.Q. The average errors for lagrange interpolation on the Wiener space. Acta. Math. Sin.-English Ser. 28, 1581–1596 (2012). https://doi.org/10.1007/s10114-012-0242-9

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  • DOI: https://doi.org/10.1007/s10114-012-0242-9

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