Matrix analysis
Zero location and nth asymptotics of Sobolev orthogonal polynomials
Journal of Approximation Theory
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Journal of Approximation Theory
Sobolev orthogonal polynomial in the complex plane
Journal of Computational and Applied Mathematics - Special issue on numerical analysis 2000 Vol. V: quadrature and orthogonal polynomials
The multiplication operator in Sobolev spaces with respect to measures
Journal of Approximation Theory
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Journal of Approximation Theory
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Journal of Approximation Theory
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This paper discusses Sobolev orthogonal polynomials for a class of scalar products that contains the sequentially dominated products introduced by Lagomasino and Pijeira. We prove asymptotics for Markov type functions associated to the Sobolev scalar product and an extension of Widom's Theorem on the location of the zeroes of the orthogonal polynomials. In the case of measures supported in the real line, we obtain results related to the determinacy of the Sobolev moment problem and the completeness of the polynomials in a suitably defined weighted Sobolev space.