Improvement of Furuta’s Inequality with Applications to Numerical Radius

Abstract

In diverse branches of mathematics, several inequalities have been studied and applied. In this article, we improve Furuta’s inequality. Subsequently, we apply this improvement to obtain new radius inequalities that not been reported in the current literature. Numerical examples illustrate the main findings.

Keywords

• Dragomir extension
• inner product
• isometry
• Kato inequality
• linear and bounded operator
• normed space