An Inequality for Coefficients of the Real-rooted Polynomials

J. J. F Guo

In this paper, we prove that if $f(x)={\sum }_{k=0}^n\left(\genfrac{}{}{0ex}{}{n}{k}\right)a_k{x}^k$ is a polynomial with real zeros only, then the sequence $\{a_k{\}}_{k=0}^n$ satisfies the following inequalities…