Rational Approximation and Interpolation: Proceedings of the United Kingdom - United States Conference, held at Tampa, Florida, December 12-16, 1983 (Lecture Notes in Mathematics (1105))

Edited By P.r. Graves-morris, E.b. Saff, And R.s. Varga. Conference On Rational Approximation And Interpolation, Held 12/12-16/83 In Tampa, Fla., And Sponsored By The U.s. National Science Foundation And The U.k. Science And Engineering Research Council. Includes Bibliographies And Index. The faber operator....Pages 1-10 Survey on recent advances in inverse problems of Padé approximation theory....Pages 11-26 Some properties and applications of Chebyshev polynomial and rational approximation....Pages 27-48 Polynomial, sinc and rational function methods for approximating analytic functions....Pages 49-72 Rational approximation of fractals....Pages 73-88 On rational approximation of the exponential and the square root function....Pages 89-99 Padé-type approximants and linear functional transformations....Pages 100-108 Continued fraction solution of the general Riccati equation....Pages 109-116 Order stars, contractivity and a pick-type theorem....Pages 117-124 Bernstein and markov inequalities for constrained polynomials....Pages 125-135 Multivariate interpolation....Pages 136-144 The strong uniqueness constant in complex approximation....Pages 145-149 On the minimum moduli of normalized polynomials....Pages 150-159 On the block structure of the Laurent-Padé table....Pages 160-169 Square blocks and equioscillation in the Padé, walsh, and cf tables....Pages 170-181 Properties of Padé approximants to stieltjes series and systems theory....Pages 182-188 Degree of rational approximation in digital filter realization....Pages 189-209 Applications of schur fractions to digital filtering and signal processing....Pages 210-226 A de montessus theorem for vector valued rational interpolants....Pages 227-242 On the convergence of limit periodic continued fractions K(a n /1), where a 1 → −1/4....Pages 243-248 On the uniform approximation of holomorphic functions on convex sets by means of interpolation polynomials....Pages 249-255 On equiconvergence of certain sequences of rational interpolants....Pages 256-271 Convergence and divergence of multipoint padé approximants of meromorphic functions....Pages 272-284 Approximate analytic continuation beyond the first Riemann sheet....Pages 285-294 Critical exponents for the general spin ising model using the rational approximation method....Pages 295-312 Partial differential approximants and the elucidation of multisingularities....Pages 313-330 Zeros of polynomials generated by 4-term recurrence relations....Pages 331-345 A lower bound for the number of zeros of a function analytic in a disk....Pages 346-353 Location of poles of Padé approximants to entire functions....Pages 354-363 Approximations to e x arising in the numerical analysis of volterra equations....Pages 364-375 Error evaluation for cubic bessel interpolation....Pages 376-382 Extended numerical computations on the “1/9” conjecture in rational approximation theory....Pages 383-411 Computing with the faber transform....Pages 412-418 A-stable methods for second order differential systems and their relation to Padé approximants....Pages 419-430 Shape preserving rational spline interpolation....Pages 431-441 An application of gaussian elimination to interpolation by generalized rational functions....Pages 442-452 Problems in numerical chebyshev approximation by interpolating rationals....Pages 453-465 Exponential fitting of restricted rational approximations to the exponential function....Pages 466-476 Quadrature formulae and moment problems....Pages 477-488 Discrete l p approximation by rational functions....Pages 489-501 What is beyond Szegö's theory of orthogonal polynomials?....Pages 502-510 Polynomials with laguerre weights in L p ....Pages 511-523 Orthogonal polynomials for general measures-I....Pages 524-528