The goal of this paper is to obtain some comparison inequalities for a linear operator between polynomials in the plane. The polynomials under study have constraints on their zeros and the estimates ...

There are many known asymptotic estimates for the expected number of real zeros of a trigonometric polynomial V(θ) = a₀ + a₁ cosθ + a₂ cos2θ + . . . + an cos nθ with independent identically ...