International Journal of Neutrosophic Science IJNS 2690-6805 2692-6148 10.54216/IJNS https://www.americaspg.com/journals/show/3720 2020 2020 Department of Mathematics, Faculty of Science, Al-Balqa Applied University, Salt 19117, Jordan Khalid Khalid Department of Mathematics, Faculty of Science, Al-Balqa Applied University, Salt 19117, Jordan Khalid Shebrawi Department of Mathematics, Faculty of Science, Al-Balqa Applied University, Salt 19117, Jordan Tasnim Alkharabsheh It is shown that if A, B,X, and Y are operators acting on a finite dimensional Hilbert space, then. ωu (AXB∗ ± BYA∗) ≤ 2 ∥A∥ ∥B∥ ωu ([0 X, Y 0]) where ωu (T ), ∥T ∥, are, respectively, the U-numerical radius, the spectral norm, of an operator T . 2025 2025 279 291 10.54216/IJNS.260221 https://www.americaspg.com/articleinfo/21/show/3720