Title: How poles of orthogonal rational functions affect their Christoffel functions
Authors: Deckers, Karl ×
Lubinsky, Doron S. #
Issue Date: Sep-2012
Publisher: Academic Press
Series Title: Journal of Approximation Theory vol:164 issue:9 pages:1184-1199
Abstract: We show that even a relatively small number of poles of
a sequence of orthogonal rational functions approaching the interval of orthogonality, can prevent their Christoffel functions from having the expected asymptotics. We also establish a sufficient condition on the rate for such asymptotics, provided the rate of approach of the poles is sufficiently slow. This provides a supplement to recent results of the authors where poles were assumed to stay away from the interval of orthogonality.
ISSN: 0021-9045
Publication status: published
KU Leuven publication type: IT
Appears in Collections:NUMA, Numerical Analysis and Applied Mathematics Section
× corresponding author
# (joint) last author

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