Not all limit points of poles of the Padé approximants are obstructions for poinwise convergence

Details Not all limit points of poles of the Padé approximants are obstructions for poinwise convergence Not all limit points of poles of the Padé approximants are obstructions for poinwise convergence

2005-01-09

arxiv.org/abs/math/0501119v2

Mathematics

Numerical Analysis

Scientific paper

In the work it is shown that not all limit points of poles of the Pad\'e
approximants for the last intermediate row are obstructions for poinwise
convergence of the whole row to an approximable function. The corresponding
examples are constructed.

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