Logarithmic asymptotics of contracted Sobolev extremal polynomials on the real line

Authors:
G. López Lagomasino;F. Marcellán Espaòol;H. Pijeira Cabrera
Affiliations:
Univ. Carlos III de Madrid, Spain;Univ. Carlos III de Madrid, Spain;Univ. de Matanzas, Cuba
Venue:
Journal of Approximation Theory
Year:
2006

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Abstract

For a wide class of Sobolev type norms with respect to measures with unbounded support on the real line, the contracted zero distribution and the logarithmic asymptotic of the corresponding re-scaled Sobolev orthogonal polynomials is given.