Author： Abouir J. Cuyt A. Gonzalez-Vera P. Orive R.
Publisher： Academic Press
ISSN： 0021-9045
Source： Journal of Approximation Theory, Vol.86, Iss.2, 1996-08, pp. : 216-228
Disclaimer: Any content in publications that violate the sovereignty, the constitution or regulations of the PRC is not accepted or approved by CNPIEC.
Abstract
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 denominator polynomial is completely free. Also we develop convergence theorems and we distinguish between results obtained in polydiscs and in multivariate balls. The numerical examples section illustrates this difference and compares the obtained results with the approximation power of general order multivariate Pade approximants.
Related content
Access to resources
Recommend
Remainder Pade Approximants for the Exponential Function
Constructive Approximation, Vol. 25, Iss. 1, 2007-01 ,pp. :
Explicit Computation of Pade-Hermite Approximants
By Duverney D.
Journal of Approximation Theory, Vol. 88, Iss. 1, 1997-01 ,pp. :