Rational Approximation and Interpolation

Proceedings of the United Kingdom - United States Conference, held at Tampa, Florida, December 12-16, 1983
Herausgegeben:Graves-Morris, P. R.; Saff, E. B.; Varga, R. S.

• Broschiertes Buch

Produktbeschreibung

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.

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Produktdetails

• Lecture Notes in Mathematics 1105
• Verlag: Springer / Springer Berlin Heidelberg / Springer, Berlin
• Artikelnr. des Verlages: 978-3-540-13899-0
• 1984.
• Seitenzahl: 544
• Erscheinungstermin: 1. Dezember 1984
• Englisch
• Abmessung: 235mm x 155mm x 30mm
• Gewicht: 854g
• ISBN-13: 9783540138990
• ISBN-10: 3540138994
• Artikelnr.: 23588287

Inhaltsangabe

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.