Javad Baradaran, Jahangir Cheshmavar, Zahra Ghorbani: The comparison of two norms on a class of complex polynomials of the same degree, 139-149

Abstract:

In this study, we first state some properties of a polynomials Golay pair and we show that the usual norm and a type of the discrete norm of them are the same. Then it is found an upper bound for the ratio of the usual norm over the discrete norm of the complex polynomials in $\mathbb{P}_n$.

Key Words: Usual norm, discrete norm, Golay's polynomials, roots of unity.

2010 Mathematics Subject Classification: Primary 41A20; Secondary 42A05, 49M25.