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dc.contributor.authorAit-Haddou, Rachid
dc.date.accessioned2015-08-03T12:21:43Z
dc.date.available2015-08-03T12:21:43Z
dc.date.issued2015-01
dc.identifier.issn00219045
dc.identifier.doi10.1016/j.jat.2014.10.001
dc.identifier.urihttp://hdl.handle.net/10754/563980
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.
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.
dc.publisherElsevier BV
dc.subjectBernstein bases
dc.subjectBézier curves
dc.subjectDegree elevation
dc.subjectLorentz degree
dc.subjectPolynomials with nonnegative coefficients
dc.subjectPólya degree
dc.titleOn the Lorentz degree of a product of polynomials
dc.typeArticle
dc.contributor.departmentVisual Computing Center (VCC)
dc.identifier.journalJournal of Approximation Theory
kaust.personAit-Haddou, Rachid
kaust.acknowledged.supportUnitVisual Computing Center


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