Approximation Theory. Tampa: Proceedings of a Seminar held in Tampa, Florida, 1985 - 1986

ISBN-13: 9783540185000 / Angielski / Miękka / 1987 / 232 str.

Edward B. Saff

Opis

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Spis treści

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.