Lower bounds on the measure of the support of positive and negative parts of trigonometric polynomials

Abdulamin Ismailov

For a finite set of natural numbers $D$ consider a complex polynomial of the form $f(z)={\sum }_{d\in D}{c}_d{z}^d$. Let ${\rho }_{+}(f)$ and ${\rho }_{-}(f)$ be the fractions of the unit circle tha…