On the improvements of Numerical radius inequalities

Amit Maji, Atanu Manna

Published 2022-07-05Version 1

In this paper, we achieve new and improved numerical radius inequalities of Hilbert space operators by using an Orlicz function. The upper bounds of various numerical radius inequalities have been obtained. Finally, we compute an upper bound of numerical radius for block matrices of the form $\begin{bmatrix}O & P\\Q & O \end{bmatrix}$, where $P, Q$ are any bounded linear operators on a Hilbert space.