General Results on the Convergence of Multipoint Hermite-Pade Approximants of Nikishin Systems
✍ Scribed by U. Fidalgo Prieto; G. Lopez Lagomasino
- Publisher
- Springer
- Year
- 2006
- Tongue
- English
- Weight
- 233 KB
- Volume
- 25
- Category
- Article
- ISSN
- 0176-4276
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📜 SIMILAR VOLUMES
In previous papers the convergence of sequences of ``rectangular'' multivariate Pade -type approximants was studied. In other publications definitions of ``triangular'' multivariate Pade -type approximants were given. We extend these results to the general order definition where the choice of the de
Nikishin systems of three functions are considered. For such systems, the rate of convergence of simultaneous interpolating rational approximations with partially prescribed poles is studied. The solution is described in terms of the solution of a vector equilibrium problem in the presence of a vect