<p>This article presents an investigation to improve the numerical radius bounds for bounded linear operators on a complex Hilbert space through the application of Young’s inequality. This study yields novel numerical radius bounds for operators, improves existing bounds, and achieves new refinements for the numerical radius bounds related to the sum and product of operators.</p>

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Some new inequalities on the improvement of numerical radius bounds

  • Elkhateeb S. Aly,
  • Tabassum Bilal,
  • Javariya Hyder,
  • Ali M. Mahnashi,
  • S. Bourazza,
  • Muhammad Saeed Akram

摘要

This article presents an investigation to improve the numerical radius bounds for bounded linear operators on a complex Hilbert space through the application of Young’s inequality. This study yields novel numerical radius bounds for operators, improves existing bounds, and achieves new refinements for the numerical radius bounds related to the sum and product of operators.