On a lower estimate for convergence of multipoint Pade approximants of piecewise analytic functions

2021 ◽  
Vol 85 (3) ◽  
Author(s):  
Viktor Ivanovich Buslaev
Keyword(s):  
Analytic Functions ◽  
Lower Estimate ◽  
Padé Approximants ◽  
Pade Approximants

On Padé and Best Rational Approximation

1983 ◽  
Vol 26 (1) ◽  
pp. 50-57 ◽  
Author(s):  
Peter B. Borwein
Keyword(s):  
Rational Approximation ◽  
Analytic Functions ◽  
Unit Disc ◽  
Padé Approximants ◽  
Main Diagonal ◽  
Rational Approximations ◽  
Pade Approximants ◽  
Best Rational Approximation

AbstractIt is reasonable to expect that, under suitable conditions, Padé approximants should provide nearly optimal rational approximations to analytic functions in the unit disc. This is shown to be the case for ez in the sense that main diagonal Padé approximants are shown to converge as expeditiously as best uniform approximants. Some more general but less precise related results are discussed.

Convergence of multipoint Padé approximants of piecewise analytic functions

2013 ◽  
Vol 204 (2) ◽  
pp. 190-222 ◽  
Author(s):  
Viktor I Buslaev
Keyword(s):  
Analytic Functions ◽  
Padé Approximants ◽  
Pade Approximants

scholarly journals Frobenius–Padé approximants of piecewise analytic functions II

2017 ◽  
Vol 223 ◽  
pp. 52-63
Author(s):  
Manuel Bello-Hernández
Keyword(s):  
Analytic Functions ◽  
Padé Approximants ◽  
Pade Approximants

Convergence of m-point Padé approximants of a tuple of multivalued analytic functions

2015 ◽  
Vol 206 (2) ◽  
pp. 175-200 ◽  
Author(s):  
V I Buslaev
Keyword(s):  
Analytic Functions ◽  
Padé Approximants ◽  
Pade Approximants

A Uniform Approach for the Fast Computation of Matrix-Type Padé Approximants

1994 ◽  
Vol 15 (3) ◽  
pp. 804-823 ◽  
Author(s):  
Bernhard Beckermann ◽  
George Labahn
Keyword(s):  
Padé Approximants ◽  
Fast Computation ◽  
Matrix Type ◽  
Pade Approximants ◽  
Uniform Approach

scholarly journals Padé approximants and noise: rational functions

1999 ◽  
Vol 105 (1-2) ◽  
pp. 285-297 ◽  
Author(s):  
Jacek Gilewicz ◽  
Maciej Pindor
Keyword(s):  
Rational Functions ◽  
Padé Approximants ◽  
Pade Approximants
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