On the Average Errors of Multivariate Lagrange Interpolation

Abstract

In this paper, we discuss the average errors of multivariate Lagrange interpolation based on the Chebyshev nodes of the first kind. The average errors of the interpolation sequence are determined on the multivariate Wiener space.

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Zhang, Z. and Jiang, Y. (2013) On the Average Errors of Multivariate Lagrange Interpolation. Journal of Applied Mathematics and Physics, 1, 1-5. doi: 10.4236/jamp.2013.16001.

Conflicts of Interest

The authors declare no conflicts of interest.

References

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[2] G. Q. Xu, “The Average Errors for Lagrange Interpolation and Hermite-Feje’r Interpolation on the Wiener Space (in Chinese),” Acta Mathematica Sinica, Vol. 50, No. 6, 2007, pp. 1281-1296.
[3] A. Papageorgiou and G. W. Wasilkowski, “On the Average Complexity of Multivariate Problems,” Journal of Complexity, Vol. 6, No. 1, 1990, pp. 1-23. http://dx.doi.org/10.1016/0885-064X(90)90009-3

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