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<p>In this paper, we investigate numerical radius inequalities for bounded linear operators on Hilbert space, presenting refined and generalized results. Building on the refined Young inequality, a generalization of classical inequalities to high powers can be provided. Moreover, by using Buzano inequality and convex combinations, we establish new upper bounds which improve the prior results in some special cases.</p>

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Some Refinements for Numerical Radius Inequalities

  • 期刊论文

  • 发表日期：

    2025年12月1日

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  • Fugen Gao,
  • Yirong Wang

摘要

In this paper, we investigate numerical radius inequalities for bounded linear operators on Hilbert space, presenting refined and generalized results. Building on the refined Young inequality, a generalization of classical inequalities to high powers can be provided. Moreover, by using Buzano inequality and convex combinations, we establish new upper bounds which improve the prior results in some special cases.