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Article
A general module theoretic framework for vector M-Padé and matrix rational interpolation
A general module theoretic framework is used to solve several classical interpolation problems and generalizations thereof in a unified way. These problems are divided into two main families. The first family ...
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Article
On the convergence of multipoint Padé-type approximants and quadrature formulas associated with the unit circle
We study the convergence of rational interpolants with prescribed poles on the unit circle to the Herglotz-Riesz transform of a complex measure supported on [−π, π]. As a consequence, quadrature formulas arise...
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Article
Orthogonal rational functions and modified approximants
Let {α n | n ∞ be a sequence in the open unit disk in the complex plane and let ...