Further inequalities for the numerical radius of Hilbert space operators

Document Type

Article

Publication Title

Journal of Mathematical Inequalities

Abstract

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.

First Page

955

Last Page

967

DOI

10.7153/jmi-2019-13-68

Publication Date

1-1-2019

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