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arXiv · 2207.01915

Orlicz extension of Numerical radius inequalities

Amit Maji·Atanu Manna·Ram Mohapatra
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Abstract

In this paper, we achieve new and improved numerical radius inequalities of operators defined on a Hilbert space by using Orlicz function and Hermite-Hadamard inequality. The upper bounds of various inequalities involving numerical radii have been obtained. Finally, we compute an upper bound of the 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.

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Amit Maji, Atanu Manna, Ram Mohapatra. 2022-07-05. Orlicz extension of Numerical radius inequalities. https://arxiv.org/abs/2207.01915

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