Computational Methods and Function Theory

, Volume 17, Issue 3, pp 525–556 | Cite as

Convergence of Row Sequences of Simultaneous Padé-orthogonal Approximants



In this paper, convergence theorems of row sequences of vector valued Padé-orthogonal approximants (simultaneous Padé-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) Padé-orthogonal approximants in Bosuwan et al. (Jaen J Approx 5:179–208, 2013).


Montessus de Ballore’s theorem Frobenius–Padé approximants of orthogonal expansions Padé-orthogonal approximants Fourier–Padé approximants Simultaneous Padé approximants Orthogonal polynomials Hermite-Padé approximants 

Mathematics Subject Classification

30E10 41A21 


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Copyright information

© Springer-Verlag Berlin Heidelberg 2017

Authors and Affiliations

  1. 1.Department of Mathematics, Faculty of ScienceMahidol UniversityBangkokThailand
  2. 2.Centre of Excellence in MathematicsCHEBangkokThailand

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