Table of Contents

A fast algorithm to solve Kalman’s partial realisation problem for single input, multi-output systems.- Analogues of Freud’s conjecture for Erdös type weights and related polynomial approximation problems.- Some examples in approximation on the unit disk by reciprocals of polynomials.- Strong asymptotics for Lp extremal polynomials (1<p<∞) associated with weights on [-1, 1].- Asymptotic behavior of the Christoffel function related to a certain unbounded set.- Some discrepancy theorems.- Properties of projections obtained by averaging certain polynomial interpolants.- Boundary collocation in Fejér points for computing eigenvalues and eigenfunctions of the Laplacian.- On the geometry of real polynomials.- A note on a theorem by H. N. Mhaskar and E. B. Saff.- Existence and uniqueness of rational interpolants with free and prescribed poles.- Zero-free disks in families of analytic functions.