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 ...

In this paper, we establish certain comparison inequalities of Bernstein-type for a linear operator between complex polynomials under certain constraints on their zeros. A variety of interesting ...