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    On the Lorentz degree of a product of polynomials

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    Type
    Article
    Authors
    Ait-Haddou, Rachid
    KAUST Department
    Visual Computing Center (VCC)
    Date
    2015-01
    Permanent link to this record
    http://hdl.handle.net/10754/563980
    
    Metadata
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    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.
    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
    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.
    Publisher
    Elsevier BV
    Journal
    Journal of Approximation Theory
    DOI
    10.1016/j.jat.2014.10.001
    ae974a485f413a2113503eed53cd6c53
    10.1016/j.jat.2014.10.001
    Scopus Count
    Collections
    Articles; Visual Computing Center (VCC)

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