M. G. De Bruin, J. Gilewicz, H.-J. Runckel (auth.), Jacek Gilewicz, Maciej Pindor, Wojciech Siemaszko (eds.)9780387172125, 0-387-17212-2
Table of contents :
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
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