TITLE:
On the Average Errors of Multivariate Lagrange Interpolation
AUTHORS:
Zengbo Zhang, Yanjie Jiang
KEYWORDS:
Multivariate Lagrange Interpolation; Average Error; Chebyshev Polynomial; Wiener Sheet Measure
JOURNAL NAME:
Journal of Applied Mathematics and Physics,
Vol.1 No.6,
November
27,
2013
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.