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On the continuity of the multivariate Padé operator
Authors:Annie Cuyt  L. Wuytack  H. Werner
Affiliation:Department of Mathematics, University of Antwerp, B-2610 Wilrijk, Belgium;Institut für Angewandte Mathematik, Universität Bonn, D-5300 Bonn, Fed. Rep. Germany
Abstract:Continuity of the univariate Padé operator was proved in [5,6]. We discuss the limitations of a multivariate generalization and prove a multivariate analogon of the continuity property.
Keywords:Padé approximant  Padé operator  multivariate approximation
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