Reverse Heinz type inequality, Mather beta function and coefficient estimates

Vladimir Božin, Petar Melentijević

In this paper, we prove that for two cyclically ordered sequences of complex numbers of unit modulus $({\xi }_j{)}_{j=1}^n$ and $({\zeta }_j{)}_{j=1}^n$ the inequality: $$\bigg|\sum_{m=1}^{n}(…