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 ...
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 ...