Rational Approximation and Interpolation

P. R. Graves-Morris

ISBN 10: 3540138994 / ISBN 13: 9783540138990

Published by Springer Berlin Heidelberg, Springer Berlin Heidelberg Dez 1984, 1984

About this Item

Neuware -The faber operator.- Survey on recent advances in inverse problems of Pad¿pproximation theory.- Some properties and applications of Chebyshev polynomial and rational approximation.- Polynomial, sinc and rational function methods for approximating analytic functions.- Rational approximation of fractals.- On rational approximation of the exponential and the square root function.- Pad¿ype approximants and linear functional transformations.- Continued fraction solution of the general Riccati equation.- Order stars, contractivity and a pick-type theorem.- Bernstein and markov inequalities for constrained polynomials.- Multivariate interpolation.- The strong uniqueness constant in complex approximation.- On the minimum moduli of normalized polynomials.- On the block structure of the Laurent-Pad¿able.- Square blocks and equioscillation in the Pad¿walsh, and cf tables.- Properties of Pad¿pproximants to stieltjes series and systems theory.- Degree of rational approximation in digital filter realization.- Applications of schur fractions to digital filtering and signal processing.- A de montessus theorem for vector valued rational interpolants.- On the convergence of limit periodic continued fractions K(an/1), where a1 1/4.- On the uniform approximation of holomorphic functions on convex sets by means of interpolation polynomials.- On equiconvergence of certain sequences of rational interpolants.- Convergence and divergence of multipoint pad¿pproximants of meromorphic functions.- Approximate analytic continuation beyond the first Riemann sheet.- Critical exponents for the general spin ising model using the rational approximation method.- Partial differential approximants and the elucidation of multisingularities.- Zeros of polynomials generated by 4-term recurrence relations.- A lower bound for the number of zeros of a function analytic in a disk.- Location of poles of Pad¿pproximants to entire functions.- Approximations to ex arising in the numerical analysis of volterra equations.- Error evaluation for cubic bessel interpolation.- Extended numerical computations on the ¿1/9¿ conjecture in rational approximation theory.- Computing with the faber transform.- A-stable methods for second order differential systems and their relation to Pad¿pproximants.- Shape preserving rational spline interpolation.- An application of gaussian elimination to interpolation by generalized rational functions.- Problems in numerical chebyshev approximation by interpolating rationals.- Exponential fitting of restricted rational approximations to the exponential function.- Quadrature formulae and moment problems.- Discrete p approximation by rational functions.- What is beyond Szeg¿'s theory of orthogonal polynomials .- Polynomials with laguerre weights in Lp.- Orthogonal polynomials for general measures-I. 544 pp. Englisch.

Seller Inventory # 9783540138990

Bibliographic Details

• Title: Rational Approximation and Interpolation
• Publisher: Springer Berlin Heidelberg, Springer Berlin Heidelberg Dez 1984
• Publication Date: 1984
• Language: English
• ISBN 10: 3540138994
• ISBN 13: 9783540138990
• Binding: Taschenbuch
• Condition: Neu

About this title

Synopsis

Rational Approximation and Interpolation: Proceedings of the United Kingdom - United States Conference, Held at Tampa, Florida, December 12-16, 1983 Rational Approximation and Interpolation: Proceedings of the United Kingdom - United States Conference, Held at Tampa, Florida, December 12-16, 1983