Publication:
Zero location and n-th root asymptotics of Sobolev orthogonal polynomials

Thumbnail Image
Identifiers
URI: https://hdl.handle.net/10016/6363
ISSN: 0021-9045
DOI: 10.1006/jath.1998.3318
Files
zero_lagomasino_jat_1999_ps.pdf (255.87 KB)
Publication date
1999-07
Defense date
Authors
Advisors
Tutors
Journal Title
Journal ISSN
Volume Title
Publisher
Elsevier
Impact
Google Scholar
Export
Research Projects
Organizational Units
Journal Issue
Abstract
For a wide class of Sobolev orthogonal polynomials, it is proved that their zeros are contained in a compact subset of the complex plane and the asymptotic zero distribution is obtained. With this information, the nth root asymptotic behavior outside the compact set containing all the zeros is given.
Description
14 pages, no figures.-- MSC2000 codes: 42C05, 33C45.
MR#: MR1696589 (2000g:42035)
Zbl#: Zbl 0949.42020
Keywords
Sobolev orthogonal polynomials, Borel measures, Zeros, Dirac measure
Bibliographic citation
Journal of Approximation Theory, 1999, vol. 99, n. 1, p. 30-43
Collections
DM - GAMA - Artículos de Revistas