Further Accurate Numerical Radius Inequalities

Abstract

The goal of this study is to refine some numerical radius inequalities in a novel way. The new improvements and refinements purify some famous inequalities pertaining to Hilbert space operators numerical radii. The inequalities that have been demonstrated in this work are not only an improvement over old inequalities but also stronger than them. Several examples supporting the validity of our results are provided as well.

Keywords

• numerical radius
• norm
• inequalities
• Hermite–Hadamard inequality