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Optimization of two-point Padé-type approximants |
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| Authors: | Pablo Gonz lez-Vera and Ram n Orive |
| Institution: | Departamento de Análisis Matemático, Universidad de La Laguna, 38271 La Laguna, Tenerife, Canary Islands, Spain |
| Abstract: | In this paper, we first give characterization theorems for the best two-point Padé-type approximants (2PTAs) in the uniform norm. Secondly, we consider sequences of 2PTAs in a domain of the complex plane from the viewpoint of the asymptotic degree of convergence, and we also give conditions for geometric convergence. |
| Keywords: | Padé-type approximants Formal power series Uniform convergence Geometrical convergence |
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