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.