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, R. S. Varga

• Pubblicazione: Berlin, Germany : , : Springer, , [1984]; ©1984
• Edizione: 1st ed. 1984.
• Descrizione fisica: 1 online resource (XIV, 530 p.)
• Disciplina: 518
• Soggetto topico: Approximation theory
• Persona (resp. second.): VargaRichard S.; SaffE. B. <1944->; Graves-MorrisP. R.
• Note generali: Bibliographic Level Mode of Issuance: Monograph
• Nota di contenuto: 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-term recurrence 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.
• Titolo autorizzato: Rational approximation and interpolation
• ISBN: 3-540-39113-4
• Formato: Materiale a stampa
• Livello bibliografico: Monografia
• Lingua di pubblicazione: Inglese
• Record Nr.: 996466863403316
• Lo trovi qui: Univ. di Salerno
• Serie: Lecture Notes in Mathematics, . 0075-8434 ; ; 1105