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Some properties of zeros of Sobolev-type orthogonal polynomials

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1996-04-30
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Elsevier
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Abstract
For polynomials orthogonal with respect to a discrete Sobolev product, we prove that, for each n, Qn has at least n − m zeros on the convex hull of the support of the measure, where m denotes the number of terms in the discrete part. Interlacing properties of zeros are also described.
Description
9 pages, no figures.-- MSC1991 code: 33C45.
MR#: MR1391618 (97f:33008)
Zbl#: Zbl 0862.33005
Keywords
Orthogonal and quasi-orthogonal polynomials, Sobolev-type products, Gauss-Jacobi quadrature formula, Zeros
Bibliographic citation
Journal of Computational and Applied Mathematics, 1998, vol. 69, n. 1, p. 171-179