Rational Approximation and its Applications in Mathematics and Physics: Proceedings, Łańcut 1985

A survey of bounds for the zeros of analytic functions obtained by continued fraction methods....Pages 1-23
Rational approximation and interpolation of functions by branched continued fractions....Pages 24-40
Polynomial condition of Leja....Pages 41-45
Branched continued fractions and convergence acceleration problems....Pages 46-50
Two-point Padé-type and Padé Approximants....Pages 51-62
Existence of Chebyshev approximations by transformations of powered rationals....Pages 63-67
Best Chebyshev rational approximants and poles of functions....Pages 68-72
Hyperbolic approximation of meromorphic functions....Pages 73-78
Three different approaches to a proof of convergence for Padé approximants....Pages 79-124
On the continuity properties of the multivariate Padé—Operator T m,n ....Pages 125-133
The Marchaud inequality for generalized Moduli of smoothness....Pages 134-144
Analytic properties of two-dimensional continued P-fraction expansions with periodical coefficients and their simultaneous Pade-Hermite approximants....Pages 145-160
Modification of generalised continued fractions I definition and application to the limit-periodic case....Pages 161-176
Convergence acceleration for continued fractions K(a n /1), where a n → ∞....Pages 177-187
Perron-Carathéodory continued fractions....Pages 188-206
On approximation of functions by two-dimensional continued fractions....Pages 207-216
On the convergence of the multidimensional limit-periodic continued fractions....Pages 217-227
Quelques generalisations de la representation de reels par des fractions continues....Pages 228-238
Local properties of continued fractions....Pages 239-250
A Stieltjes analysis of the K + -p forward elastic amplitude....Pages 251-269
Smoothness conditions for Stieltjes measures from Pade approximants....Pages 270-277
Exact multisoliton properties of rational approximants to the iterated solution of nonlinear evolution equations....Pages 278-294
Application of rational approximations to some functional equations....Pages 295-304
Operator rational functions and variational methods for the model operator....Pages 305-314
The generalized Schur algorithm for the superfast solution of Toeplitz systems....Pages 315-330
Strong unicity in nonlinear approximation....Pages 331-350