dc.contributor.author Ait-Haddou, Rachid dc.date.accessioned 2015-08-03T12:21:43Z dc.date.available 2015-08-03T12:21:43Z dc.date.issued 2015-01 dc.identifier.citation Ait-Haddou, R. (2015). On the Lorentz degree of a product of polynomials. Journal of Approximation Theory, 189, 81–87. doi:10.1016/j.jat.2014.10.001 dc.identifier.issn 00219045 dc.identifier.doi 10.1016/j.jat.2014.10.001 dc.identifier.uri http://hdl.handle.net/10754/563980 dc.description.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. dc.description.sponsorship 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. dc.publisher Elsevier BV dc.subject Bernstein bases dc.subject Bézier curves dc.subject Degree elevation dc.subject Lorentz degree dc.subject Polynomials with nonnegative coefficients dc.subject Pólya degree dc.title On the Lorentz degree of a product of polynomials dc.type Article dc.contributor.department Visual Computing Center (VCC) dc.identifier.journal Journal of Approximation Theory kaust.person Ait-Haddou, Rachid kaust.acknowledged.supportUnit Visual Computing Center
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