Further inequalities for the numerical radius of Hilbert space operators
Journal of Mathematical Inequalities
In this article, we present some new inequalities for numerical radius of Hilbert space operators via convex functions. Our results generalize and improve earlier results by El-Haddad and Kittaneh. Among several results, we show that if A ∈ B (H) and r ≥ 2, then where w(·) and ||·|| denote the numerical radius and usual operator norm, respectively.
Tafazoli, Sara; Moradi, Hamid Reza; Furuichi, Shigeru; and Harikrishnan, Panackal, "Further inequalities for the numerical radius of Hilbert space operators" (2019). Open Access Archive. 933.