Abstract
In this paper, convergence theorems of row sequences of vector valued Pade-orthogonal approximants (simultaneous Pade-orthogonal approximants) corresponding to a measure supported on a general compact subset of the complex plane are proved. These theorems are natural extensions of Montessus de Ballore’s theorem for row sequences of (scalar) Pade-orthogonal approximants in Bosuwan et al. (Jaen J Approx 5:179–208, 2013).
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