Improvement of Furuta’s Inequality with Applications to Numerical Radius

Mohammad W. Alomari, Mojtaba Bakherad, Monire Hajmohamadi, Christophe Chesneau, Víctor Leiva, Carlos Martin-Barreiro

Research output: Contribution to journalArticlepeer-review


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.

Original languageEnglish
Article number36
Issue number1
StatePublished - Jan 2023


  • Dragomir extension
  • Kato inequality
  • Schwarz inequality
  • inner product
  • isometry
  • linear and bounded operator
  • normed space
  • power-mean inequality


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