This note concerns approximation properties of scattered translates of a fixed kernel related to the binomial power function (1+x^q)^r. In particular, we show that associated alternant matrices are invertible and that such functions are dense in C[a,b]. The techniques used may be considered non-local since they rely on interpolation centers which are chosen outside of the target domain.

This work was supported by the PRISM Program at Longwood University.