Refinements of numerical radius inequalities using the Kantorovich ratio

Abstract

In this paper, we improve some numerical radius inequalities for Hilbert space operators under suitable condition. We also compare our results with some known results. As application of our result, we obtain an operator inequality.

Keywords

• numerical radius
• kantorovich’s ratio
• young inequality
• convex function
• primary 47a12
• secondary 47a30, 47a63