On the Polynomial Multiplication in Chebyshev Form

The authors first present a class of expansions in a series of Bernoulli polyomials and then show how this general result can be applied to yield various (known or new) polynomial expansions. The corresponding expansion problem involving the Euler ...

In a recent paper, Lima, Panario, and Wang have provided a new method to multiply polynomials expressed in Chebyshev basis which reduces the total number of multiplication for small degree polynomials. Although their method uses Karatsuba's ...

We study the problem of minimizing the supremum norm by monic polynomials with integer coefficients. Let M_n(Z) denote the monic polynomials of degree n with integer coefficients. A monic integer Chebyshev polynomial M_n ∈ M_n(Z) satisfies ||M_n||E = inf_{Pn ∈...}