Rational Approximation and Interpolation: Proceedings of the United Kingdom – United States Conference held at Tampa, Florida, December 12–16, 1983

J. M. Anderson (auth.), Peter Russell Graves-Morris, Edward B. Saff, Richard S. Varga (eds.)9780387138992, 0-387-13899-4

Table of contents :
The faber operator….Pages 1-10
Survey on recent advances in inverse problems of Padé approximation theory….Pages 11-26
Some properties and applications of Chebyshev polynomial and rational approximation….Pages 27-48
Polynomial, sinc and rational function methods for approximating analytic functions….Pages 49-72
Rational approximation of fractals….Pages 73-88
On rational approximation of the exponential and the square root function….Pages 89-99
Padé-type approximants and linear functional transformations….Pages 100-108
Continued fraction solution of the general Riccati equation….Pages 109-116
Order stars, contractivity and a pick-type theorem….Pages 117-124
Bernstein and markov inequalities for constrained polynomials….Pages 125-135
Multivariate interpolation….Pages 136-144
The strong uniqueness constant in complex approximation….Pages 145-149
On the minimum moduli of normalized polynomials….Pages 150-159
On the block structure of the Laurent-Padé table….Pages 160-169
Square blocks and equioscillation in the Padé, walsh, and cf tables….Pages 170-181
Properties of Padé approximants to stieltjes series and systems theory….Pages 182-188
Degree of rational approximation in digital filter realization….Pages 189-209
Applications of schur fractions to digital filtering and signal processing….Pages 210-226
A de montessus theorem for vector valued rational interpolants….Pages 227-242
On the convergence of limit periodic continued fractions K(a n /1), where a 1 → −1/4….Pages 243-248
On the uniform approximation of holomorphic functions on convex sets by means of interpolation polynomials….Pages 249-255
On equiconvergence of certain sequences of rational interpolants….Pages 256-271
Convergence and divergence of multipoint padé approximants of meromorphic functions….Pages 272-284
Approximate analytic continuation beyond the first Riemann sheet….Pages 285-294
Critical exponents for the general spin ising model using the rational approximation method….Pages 295-312
Partial differential approximants and the elucidation of multisingularities….Pages 313-330
Zeros of polynomials generated by 4-term recurrence relations….Pages 331-345
A lower bound for the number of zeros of a function analytic in a disk….Pages 346-353
Location of poles of Padé approximants to entire functions….Pages 354-363
Approximations to e x arising in the numerical analysis of volterra equations….Pages 364-375
Error evaluation for cubic bessel interpolation….Pages 376-382
Extended numerical computations on the “1/9” conjecture in rational approximation theory….Pages 383-411
Computing with the faber transform….Pages 412-418
A-stable methods for second order differential systems and their relation to Padé approximants….Pages 419-430
Shape preserving rational spline interpolation….Pages 431-441
An application of gaussian elimination to interpolation by generalized rational functions….Pages 442-452
Problems in numerical chebyshev approximation by interpolating rationals….Pages 453-465
Exponential fitting of restricted rational approximations to the exponential function….Pages 466-476
Quadrature formulae and moment problems….Pages 477-488
Discrete ℓ p approximation by rational functions….Pages 489-501
What is beyond Szegö’s theory of orthogonal polynomials?….Pages 502-510
Polynomials with laguerre weights in L p ….Pages 511-523
Orthogonal polynomials for general measures-I….Pages 524-528