Titlebook: Approximation and Computation: A Festschrift in Honor of Walter Gautschi; Proceedings of the P R. V. M. Zahar Conference proceedings 1994 S

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A Unified Approach to Recurrence Algorithms,each of the resulting recurrence algorithms is mathematically equivalent to a type of triangular decomposition of the linear algebraic system, all algorithms being a form of either LU or UL factorization.

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缺陷

An Extension of a Result of Rivlin on Walsh Equiconvergence (Faber Nodes),ement is simply connected in the extended complex plane, and the Faber polynomials associated with .. Here, we study equiconvergence phenomena for differences of interpolating polynomials, defined by Lagrange (and Hermite) interpolants in zeros of associated Faber polynomials.

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Quasi-Interpolation on Irregular Points,ctions from ℝ. to ℝ. The case of irregularly situated nodes is of particular interest. We investigate the question of how to select the “base functions” .. in order to obtain favorable estimates of ∥. - .∥.

IRK

On Some Approximations for the Zeros of Jacobi Polynomials,sel function .. (.). These approximations, obtained by using certain asymptotic expansions of .. (cos .) as . ∞, are uniformly valid only for the zeros lying in the interval 0 < . ≤ .. On the other hand, the inequalities hold for all the zeros.

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On the Approximation of Univalent Functions by Subordinate Polynomials in the Unit Disk,alent polynomial .. in . with . (0) = ..(0) and .(ρ.) ⊂ ..(.) ⊂ .(.). Clearly, these numbers are related to the quality of polynomial approximation to conformal maps. In this note we find a sharp uniform bound for .(., .) if . is convex univalent, and discuss some related results and conjectures in the starlike and the general univalent case.

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