Polynomials with all zeros real and in a prescribed interval
The problem of the localization of the zeros of the given real-valued polynomial is important both from the theoretical and practical point of view.Using deep methods from algebraic geometry and the so-called \(K\)-moment problem the author gives the localization of the zeros of a polynomial in prescribed interval in terms of the definiteness of some Hankel matrices (finite number of the conditions).
scientific article; zbMATH DE number 1879618