On the lorentz degree of a product of polynomials

R. Ait-Haddou
Journal of Approximation Theory, 189, pp. 81-87, (2015)

On the lorentz degree of a product of polynomials

Keywords

Polynomials with nonnegative coefficients, Bernstein bases, Lorentz degree, Bzier curves, Degree elevation, Plya degree

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.

Code

DOI: 10.1016/j.jat.2014.10.001

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