Padé approximation and gaussian quadrature
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For certain types of formal power series, including the series of Stieltjes, we prove that the [n, n+j], j ≥ −1, Padé approximants coincide with certain gaussian quadrature formulae and hence, convergence of these approximants follows immediately. © 1974, Australian Mathematical Society. All rights reserved.
author list (cited authors)
Allen, G. D., Chui, C. K., Madych, W. R., Narcowich, F. J., & Smith, P. W.