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Sharp bounds for the extreme zeros of classical orthogonal polynomials

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Author(s):
Dimitrov, Dimitar K. ; Nikolov, Geno P.
Total Authors: 2
Document type: Journal article
Source: Journal of Approximation Theory; v. 162, n. 10, p. 12-pg., 2010-10-01.
Abstract

Bounds for the extreme zeros of the classical orthogonal polynomials are obtained by a surprisingly simple method. Nevertheless, it turns out that, in most cases, the estimates obtained in this note are better than the best limits known in the literature. (C) 2009 Elsevier Inc. All rights reserved. (AU)

FAPESP's process: 03/01874-2 - Orthogonal and similar polynomials: properties and applications
Grantee:Alagacone Sri Ranga
Support Opportunities: Research Projects - Thematic Grants