2019/08/07 by Mohammad Sababheh, Hamid Reza Moradi · 1 citation
Mathematics · Computer Science · #Mathematical Inequalities and Applications #Matrix Theory and Algorithms #Holomorphic and Operator Theory
paper · doi:10.1080/03081087.2019.1651815
In this article, we present some new general forms of numerical radius inequalities for Hilbert space operators. The significance of these inequalities follow from the way they extend and refine some known results in this field. Among other inequalities, it is shown that if A is a bounded linear operator on a complex Hilbert space, then w2(A)≤∫01tA+1−tA∗2dt≤12A2+A∗2 where w(A) and A are the numerical radius and the usual operator norm of A, respectively.