Year: 2024
Type: preprint
Abstract: In this paper, we aim to establish a range of numerical radius inequalities. These discoveries will bring us to a recently validated numerical radius inequality and will present numerical radius inequalities that exhibit enhanced precision when compared to those recently established for particular cases. Additionally, we employ the generalized Aluthge transform for operators to deduce a set of inequalities pertaining to the numerical radius. Moreover, we set forth various upper and lower bounds for the numerical radius of $2\times 2$ operator matrices, refining and expanding upon the bounds determined previously.
Source: arXiv (Cornell University)
Author: Rashid, M. H. M.
Language: English
Subfield: Applied Mathematics
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W4403884677