Numerical radius inequalities and its applications in estimation of zeros of polynomials
Pintu Bhunia, Santanu Bag, Kallol Paul · arXiv (Cornell University) · 2019
We present some upper and lower bounds for the numerical radius of a bounded linear operator defined on complex Hilbert space, which improves on the existing upper and lower bounds. We also present an upper bound for the spectral radius of sum of product of $n$ pairs of operators. As an application of the results obtained, we provide a better estimation for the zeros of a given polynomial.