Title | Rational Approximation and Interpolation [electronic resource] : Proceedings of the United Kingdom - United States Conference held at Tampa, Florida, December 12-16, 1983 / edited by Peter Russell Graves-Morris, Edward B. Saff, Richard S. Varga |
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Imprint | Berlin, Heidelberg : Springer Berlin Heidelberg, 1984 |

Connect to | http://dx.doi.org/10.1007/BFb0072395 |

Descript | XIV, 530 p. online resource |

CONTENT

The faber operator -- Survey on recent advances in inverse problems of Padรฉ 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 -- Padรฉ-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-Padรฉ table -- Square blocks and equioscillation in the Padรฉ, walsh, and cf tables -- Properties of Padรฉ 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 padรฉ 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-term recurrence relations -- A lower bound for the number of zeros of a function analytic in a disk -- Location of poles of Padรฉ 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 โ{128}{156}1/9โ{128}{157} conjecture in rational approximation theory -- Computing with the faber transform -- A-stable methods for second order differential systems and their relation to Padรฉ 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 Szegรถ's theory of orthogonal polynomials? -- Polynomials with laguerre weights in Lp -- Orthogonal polynomials for general measures-I

Mathematics
Numerical analysis
Mathematics
Numerical Analysis