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.
Inhaltsverzeichnis
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.
