A Multivariate Divided
نویسنده
چکیده
A multivariate kth divided diierence is proposed and shown to lead to new error formull for polynomial interpolation on some standard multivariate point sets. x1. Introduction In trying to understand what might be a reasonable way to describe the error in interpolation by polynomials on l R d , I came upon the following considerations: The standard error formula g(x) = g(a) + Z 1 0 D x?a g(a + t(x ? a)) dt for the simplest possible case, that of interpolation by constant polynomials at a point, a, can be written in the following form g(x) = g(a) +
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تاریخ انتشار 1995