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

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Korporativní autor: Conference on rational approximation and interpolation :Tampa, Fla.
Další autoři: Saff, Edward Barry, 1944-...., mathématicien (Šéfredaktor, odpovědný redaktor), Graves-Morris, Peter Russell (Šéfredaktor, odpovědný redaktor), Varga, Richard S., 1928-2022 (Šéfredaktor, odpovědný redaktor)
Médium: Livre numérique
Jazyk:Anglais
Vydáno: Berlin [etc.] : Springer [20..].
Cham : Springer Nature
Edice:Lecture notes in mathematics 1105
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Poznámka: "Conference on rational approximation and interpolation" (préf.)
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Edition sous un autre format:• Rational approximation and interpolation, proceedings of the United Kingdom-United States conference held at Tampa, Florida, December 12-16, 1983, edited by P.R. Graves-Morris, E.B. Saff and R.S. Varga, 1984, Berlin [etc.], Springer-Verlag, 1 vol. (XII-528 p.), Lecture notes in mathematics, 0-387-13899-4
• Rational Approximation and Interpolation, Texte imprimé, 9783662168851
Obsah:
  • The faber operator
  • Survey on recent advances in inverse problems of Padé approximation 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
  • Padé-type 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-Padé table
  • Square blocks and equioscillation in the Padé, walsh, and cf tables
  • Properties of Padé approximants 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 padé approximants 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-termrecurrence relations
  • A lower bound for the number of zeros of a function analytic in a disk
  • Location of poles of Padé approximants 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 Padé approximants
  • 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 Szegö's theory of orthogonal polynomials?
  • Polynomials with laguerre weights in Lp
  • Orthogonal polynomials for general measures-I.