Numerical radius inequalities and its applications in estimation of zeros of polynomials
Functional Analysis
2024-08-13 v1
Abstract
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 pairs of operators. As an application of the results obtained, we provide a better estimation for the zeros of a given polynomial.
Keywords
Cite
@article{arxiv.1903.03403,
title = {Numerical radius inequalities and its applications in estimation of zeros of polynomials},
author = {Pintu Bhunia and Santanu Bag and Kallol Paul},
journal= {arXiv preprint arXiv:1903.03403},
year = {2024}
}