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<p>The main finding of this paper is a new set of inner product inequalities that can be viewed as mixed Cauchy-Schwarz inequalities. These new results are then employed to obtain new novel bounds that work for the norm and numerical radius. The obtained results will be compared with the existing literature, where we show that the new findings can be better than some known results. The significance of this study lies in the fact that a renowned attention is being paid to this concern, where numerous researchers have been researching about sharp relations among certain operator quantities.</p>

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New norm and numerical radius bounds via advanced Cauchy-Schwarz inequalities

  • 期刊论文

  • 发表日期：

    2026年2月4日

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  • Hamid Reza Moradi,
  • Fadi Alrimawi,
  • Mohammad Sababheh

摘要

The main finding of this paper is a new set of inner product inequalities that can be viewed as mixed Cauchy-Schwarz inequalities. These new results are then employed to obtain new novel bounds that work for the norm and numerical radius. The obtained results will be compared with the existing literature, where we show that the new findings can be better than some known results. The significance of this study lies in the fact that a renowned attention is being paid to this concern, where numerous researchers have been researching about sharp relations among certain operator quantities.