How poles of orthogonal rational functions affect their Christoffel functions
نویسندگان
چکیده
منابع مشابه
How poles of orthogonal rational functions affect their Christoffel functions
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...
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ژورنال
عنوان ژورنال: Journal of Approximation Theory
سال: 2012
ISSN: 0021-9045
DOI: 10.1016/j.jat.2012.05.007