bokomslag Rational Approximation and Interpolation
Vetenskap & teknik

Rational Approximation and Interpolation

P R Graves-Morris E B Saff R S Varga

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  • 530 sidor
  • 1984
The faber operator.- Survey on recent advances in inverse problems of Padpproximation 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.- Padype 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-Padable.- Square blocks and equioscillation in the Padwalsh, and cf tables.- Properties of Padpproximants 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 padpproximants 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 Padpproximants 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 Padpproximants.- 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.

  • Författare: P R Graves-Morris, E B Saff, R S Varga
  • Format: Pocket/Paperback
  • ISBN: 9783540138990
  • Språk: Engelska
  • Antal sidor: 530
  • Utgivningsdatum: 1984-12-01
  • Förlag: Springer-Verlag Berlin and Heidelberg GmbH & Co. K