## Abstract

In this paper, we present several numerical radius inequalities for Hilbert space operators. More
precisely, we prove if $T,U\in \mathbb{B}\left(\mathcal{H}\right)$
such that *U* is unitary, then

$$\omega (TU\pm {U}^{*}T)\le 2\sqrt{\omega ({T}^{2})+{\parallel T\pm {T}^{*}\parallel}^{2}}.$$

Also, we have compared our results with some known outcomes.

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