Title: Monotonicity of multi-point Padé approximants
Authors: Bultheel, Adhemar
González-Vera, Pablo
Hendriksen, Erik
Njåstad, Olav #
Issue Date: Jun-1999
Conference: International Conference on Rational Approximation location:University of Antwerp (UIA), Antwerp, Belgium date:June 6-11, 1999
Abstract: The main purpose of this paper is to discuss behavior of multi-point Padé approximants of the Stieltjes transform of measures which solve a certain rational moment problem. The location of the interpolation points and the support of the measures satisfy conditions which make the problem analogous to the classical and strong (two-point) Stieltjes moment problems. The main result is that on a certain interval outside the support of the measures, the sequences of even and of odd [n-1/n] multi-point Pad7eacute; approximants converge monotonically to Stieltjes transforms of solutions of the moment problem.
Publication status: published
KU Leuven publication type: IMa
Appears in Collections:Numerical Analysis and Applied Mathematics Section
# (joint) last author

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