On the Lorentz degree of a product of polynomials

Handle URI:
http://hdl.handle.net/10754/563980
Title:
On the Lorentz degree of a product of polynomials
Authors:
Ait-Haddou, Rachid
Abstract:
In this note, we negatively answer two questions of T. Erdélyi (1991, 2010) on possible lower bounds on the Lorentz degree of product of two polynomials. We show that the correctness of one question for degree two polynomials is a direct consequence of a result of Barnard et al. (1991) on polynomials with nonnegative coefficients.
KAUST Department:
Visual Computing Center (VCC)
Publisher:
Elsevier BV
Journal:
Journal of Approximation Theory
Issue Date:
Jan-2015
DOI:
10.1016/j.jat.2014.10.001
Type:
Article
ISSN:
00219045
Sponsors:
This research was supported by the KAUST Visual Computing Center. The author is grateful to the referees for the many helpful comments that improved the presentation of this work.
Appears in Collections:
Articles; Visual Computing Center (VCC)

Full metadata record

DC FieldValue Language
dc.contributor.authorAit-Haddou, Rachiden
dc.date.accessioned2015-08-03T12:21:43Zen
dc.date.available2015-08-03T12:21:43Zen
dc.date.issued2015-01en
dc.identifier.issn00219045en
dc.identifier.doi10.1016/j.jat.2014.10.001en
dc.identifier.urihttp://hdl.handle.net/10754/563980en
dc.description.abstractIn this note, we negatively answer two questions of T. Erdélyi (1991, 2010) on possible lower bounds on the Lorentz degree of product of two polynomials. We show that the correctness of one question for degree two polynomials is a direct consequence of a result of Barnard et al. (1991) on polynomials with nonnegative coefficients.en
dc.description.sponsorshipThis research was supported by the KAUST Visual Computing Center. The author is grateful to the referees for the many helpful comments that improved the presentation of this work.en
dc.publisherElsevier BVen
dc.subjectBernstein basesen
dc.subjectBézier curvesen
dc.subjectDegree elevationen
dc.subjectLorentz degreeen
dc.subjectPolynomials with nonnegative coefficientsen
dc.subjectPólya degreeen
dc.titleOn the Lorentz degree of a product of polynomialsen
dc.typeArticleen
dc.contributor.departmentVisual Computing Center (VCC)en
dc.identifier.journalJournal of Approximation Theoryen
kaust.authorAit-Haddou, Rachiden
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