Abstract

Consider a triangular interpolation scheme on a continuous piecewise $C1$ curve of the complex plane. Given a meromorphic function $f$, we can define a sequence of interpolating polynomials to $f$ at the points of the triangular scheme. In this work we study the region of convergence to f and the region of divergence of the sequence of polynomials, in the complex plane. In particular, we give an almost complete description of these regions for the classical Runge example.

This is a joint work with A. Jorba.