Titlebook: Approximation Theory. Tampa; Proceedings of a Sem Edward B. Saff Conference proceedings 1987 Springer-Verlag Berlin Heidelberg 1987 Approxi

Pde5-Inhibitors

Strong asymptotics for Lp extremal polynomials (1While Szegö type asymptotics of orthonormal polynomials are classical, there has been a longstanding lack of corresponding results for L. extremal polynomials, p≠2. In particular, in a 1969 paper, Widom raised the question of p=∞. Here we fill some of the gaps for 1

人工制品

亚当心理阴影

palette

Existence and uniqueness of rational interpolants with free and prescribed poles,We study existence and uniqueness problems associated with different definitions of rational interpolants with free or prescribed poles. The treatment of the subject is rather general; it includes interpolation at infinity, at confluent points, and interpolation in polar singularities.

冷漠

,A fast algorithm to solve Kalman’s partial realisation problem for single input, multi-output systen the solution of the single input, multi-output partial realisation problem is then discussed. We show how analogues of Frobenius identities are derived for simultaneous Padé approximants of two series, and we give twelve such identities. We show how some of these identities are combined to constru

ANTI

彩色

Texture

Properties of projections obtained by averaging certain polynomial interpolants,ach of which interpolates . at . equidistant points on the unit circle. The paper discusses properties of the projections so defined. Norms of these projections are calculated and the asymptotic behavior is characterized. Furthermore, these averages are used to approximate Laurent sections.

guzzle

Frequency-Range

On the geometry of real polynomials,s of the Banach-Mazur distance of this space and its subspaces to the classical Banach spaces .... In the case when the degree of the polynomials is 2. we show that the space can be decomposed as the direct sum of n subspaces each of which is isometric to a finite dimensional ℓ. space.