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.
References
[1]
K. Ritter, “Average-Case Analysis of Numerical Problems,” Springer-Verlag Berlin Heidelberg, New York, 2000.
[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
