Barycentric formulae for cardinal (sinc-) interpolants (Q1104691)

We present a barycentric representation of cardinal interpolants, as well as a weighted barycentric formula for their efficient evaluation. We also propose a rational cardinal function which in some cases agrees with the corresponding cardinal interpolant and, in other cases, is even more accurate. In numerical examples, we compare the relative accuracy of those various interpolants with one another and with a rational interpolant proposed in former work.