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<p>In this paper, we prove several norm and numerical radius inequalities for matrices. Among other results, we give completely different proofs of the arithmetic-geometric mean and the Cauchy–Schwarz inequalities. Also, by using numerical radii of matrices, we give a generalization of a well-known inequality due to Kittaneh, which refines an earlier inequality of Davidson and Power.</p>

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Norm inequalities for matrices via the numerical radius

  • 期刊论文

  • 发表日期：

    2025年8月16日

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  • Ahmad Al-Natoor,
  • Omar Hirzallah,
  • Fuad Kittaneh

摘要

In this paper, we prove several norm and numerical radius inequalities for matrices. Among other results, we give completely different proofs of the arithmetic-geometric mean and the Cauchy–Schwarz inequalities. Also, by using numerical radii of matrices, we give a generalization of a well-known inequality due to Kittaneh, which refines an earlier inequality of Davidson and Power.