@article{article_1334983, title={General Upper Bounds for the Numerical Radii of Powers of Hilbert Space Operators}, journal={The Eurasia Proceedings of Science Technology Engineering and Mathematics}, volume={22}, pages={15–25}, year={2023}, DOI={10.55549/epstem.1334983}, author={AL-DOLAT, Mohammed}, keywords={Numerical radius, Usual operator norm, Operator matrix, Buzano inequality.}, abstract={In this paper, we will present several upper bounds for the numerical radii of a operator matrices. We use these bounds to generalize and improve some well-known numerical radius inequalities. We provide a refinement of an earlier numerical radius inequality due to (Bani-Domi & Kittaneh, 2021) [Norm and numerical radius inequalities for Hilbert space operators], (Bani-Domi & Kittaneh, 2021) [Refined and generalized numerical radius inequalities for operator matrices] and (Al-Dolat & Kittaneh, 2023) [Upper bounds for the numerical radii of powers of Hilbert space operators].}, publisher={ISRES Organizasyon Turizm Eğitim Danışmanlık Ltd. Şti.} }