Numerical radius inequalities for Hilbert Space Operators

Mohammad W. Alomari

Published 2018-10-12Version 1

In this work, an improvement of H\"{o}lder-McCarty inequality is established. Based on that, several refinements of the generalized mixed Schwarz inequality are obtained. Consequently, some new numerical radius inequalities are proved. Some of the presented results are refined and it shown to be better than earlier results were proved in literature.